Can anyone argue against this scenario ?
Its really just a cheap bioreactor.

At a guess, it sounds like a good idea for small scale and slow production ... but if you run the numbers for a commercial scale production plant it will start to look bad.

Can you really fill a pond over 3 years and then immediately start draining it?  Or do you need to fill them, and let them stew (producing methane of course) for some number of years?  How many ponds does a 100 million gallon per year plant need?  If it can't do 100 million gallons, is it even a silver bb?

(in contrast, I'd expect the total cycle time for corn ethanol from grain delivery to shipment to be no more than a few weeks ... assuming they let the yeast work down to the last sugars)

At a guess, it sounds like a good idea for small scale and slow production ... but if you run the numbers for a commercial scale production plant it will start to look bad.
I don't buy any numbers for commercial production since there based of leveraging the oil economy and will skyrocket over time. Maybe the first round of plants are feasible but what about the next round and after that ? The expense of digging a ditch can be as cheap as you want. And it can be spread of the lifetime of the ditch wich is at least decades. The only additional cost is plastic sheeting which can be itself produced from biomass so it will become fixed. In any case even when oil/natural gas becomes expensive for fuel its still a valid source for plastics for a long time esp once fuel pressure is removed.
Can you really fill a pond over 3 years and then immediately start draining it? Or do you need to fill them, and let them stew (producing methane of course) for some number of years? How many ponds does a 100 million gallon per year plant need? If it can't do 100 million gallons, is it even a silver bb?
Sure you can fill them at any rate you want it depends on the depth of the pond vs the biomass etc. That's a mechanical problem. The rate of breakdown or compaction is the issue. Take the natural setting your typical poorly maintained farm pond my experience has been that the layer of undigested organic matter is generally very low but the question is not what the fill rate is but what is the compaction rate ? I know semi dry composting takes about a year or less. A cows stomach or rumen digestion is a matter of days. A muck pond would be between these two extremes. Currently its rare to create the conditions for producing muck on purpose but in natural settings it seems to work quite well even in northern climates.
(in contrast, I'd expect the total cycle time for corn ethanol from grain delivery to shipment to be no more than a few weeks ... assuming they let the yeast work down to the last sugars)
Your thinking like and American whats the quick fix damned the costs. First everyone just about agrees the real answer is cellulose based solutions so forget about starch. My approach is a semi-managed local bio-reactor vs a monoculture solution. Considering the bacterial flora of a cow gut or termite and swamps I'd say mother nature thinks a bacterial witches brew is the best answer. Also on the chemical side you have syn-gas from the peat plus methane from the working ponds as feed stocks you can then produce whatever chemical is in demand plastics ethanol/butanol methanol FT what ever pathway. Also since you can combine the peat with methane your CO2 blow off is greatly reduced since you can boost syn gas production via C02 + CH4 -> 2C0 2H2 The methane is acting as a hydrogen source. You can do the same with coal and a natural gas source to control the C02. And that's the last point this approach works reasonable well with a tandem coal based economy till coal can be eliminated because again its really just a way to make low quality coal. And finally to address the economies of scale the peat or dried muck is already a microfine particulate so it goes right into a fluidized bed reactor or it can be moved and added as a slurry your paying the price for final drying but its like a wet coal. Potentially you could dry it and slurry with a low boiling organic solvent that's flashed off at the reactor or combine it with a natural oil like soybean oil. So it would be a carbon loaded natural oil. In the low boiling organic carrier case the carrier can be reused. In the case of a high boiling organic carries settling ponds would remove the bulk of the carrier for reuse. And to finish if you can pipeline the muck you can send it to a central plant but you can also process it locally. In any case using local muck ponds to massively increase the carbon content and break down the cellulose makes a lot more sense then exotic single species fermentation approaches for fuel.
No, I'm thinking like an engineer ... and trying to frame this as a set of numbers.

If you don't start with a plant production number, what do you start with?

Its not a plant production problem its a matter of determining the best way to convert bulky biomass to a usable form. I'm suggesting simple bioreactors to produce concentrated peat and methane. These would be used to produce what ever output you want if its liquid fuels then the cost is similar to CTL. Since its syn gas. I'm arguing that energy concentration at the source is a must for biofuels and natural digesters are the right thing to do. By overloading the digesters with organic material from surrounding croplands over a multi year period your replicating natural concentration steps that produced peat and thence in time coal. The approach concentrates organic material via two steps overloading from surrounding land and bacterial decomposition to reduce bulk. And its cheap and effective. The one modern magic material needed is a plastic sheet for covering that was not available to our ancestors. You can use ceramic or glass or steal coverings also so its possible without plastic but in this case a decent plastic cover makes the most sense. The ditch can be lined with clay/bricks concerete or agian plastic. My point is my argument is the number one problem with biomass is concetrating it not conversion this is a simple cheap and effective method to concentrate biomass.
I have actually blue-sky'd about adding waste biomass to manure ponds to increase/prolong methane production.  In a small (direct use, as I said above) case it might make sense.

Now, currently the output of those ponds is fertilizer, and not waste in the sense of something that must be shipped at some cost to disposal.  As I understand it, it can be sold.

If you are going to propose drying and conversion to liquid fuel, that is the step ton concentrate on.  For that the numbers of interest are how many tons of psuedo-peat you need, what it costs to process it, and how much liquid fuel it produces.

Going from natural peat production See http://www.fao.org/docrep/t0512e/T0512e0b.htm
Peat The biggest problems in gasification of peat is encountered with its high moisture content and often also with its fairly high ash content. Updraught gasifiers fuelled with sod peat of approximately 30 - 40% moisture content have been installed in Finland fox district heating purposes and small downdraught gasifiers fuelled with fairly dry peat-pellets have been successfully tested in gas-engine applications (25). During the Second World War a lot of transport vehicles were converted to wood or peat gas operation, both in Finland and Sweden.
Now one approach is if the ditch is actually lined say with concrete or clay with embedded pipes and a tight cover can be fitted the entire ditch once drained and allowed to air dry can be blown with methane and in-situ gasified. Also you can introduce more dry organic material on top after draining to add fuel to finish the drying process. So in theory you need not move anything. So the final issue is how much the moisture content can be reduced during the final drying certainly methane and dry organic material can be added to finish the drying. In the case of more organic matter denser woody material such as popular thats say grown for 3-5 years beside the ditch while the ditch was being filled can be cut and used. As far as water content its known that natural peat bogs burn when drained or during droughts so obviously it drops enough for ignition and as I said before added dry organic material and methane can be used to initial and control drying and syngas production. The addition I've made is adding pipes to the bottoms and sides to inject methane if needed. Adding a final dry matter depending on moisture and creating a simple syngas reactor out of the fermenter with a fireproof covering that can be reused. If the covering is slightly wider then the ditch then it can be u shaped and simply buried to get a seal. Old time charcoal production used a similar method. I would not be surprised if you don't need to actually add water as the reaction progresses. Finally if needed or wanted the sludge could be scrapped into a smaller area before in-situ gasification. This could be done if needed by scraping several inches of the top material to a part of the ditch designed to be the gasifier as it dries. This should not be required but probably greatly hastens the drying process and its not a lot of energy.