Nelsone,
sorry for the unconvenience. But with this sort of campsite provisions you'll be fine for a few weeks or months (For example batteries lose power with time). But we have to prepare for shortages that prevail for years or decades.

NiMH AA batteries can last for hundreds of charge cycles and are easily recharged with a solar panel or pedal bike. You are correct that most things more high-tech than what could be repaired or rebuilt in a small-town workshop will eventually go away. Lead acid batteries can be rebuilt in a low-tech workshop, but it's a very nasty job.

Nickle Iron Batteries will supposedly last a lifetime.
Drawback is cost & efficiency is not as good as Lead acid,
but not a big deal for stationary applications - it's the cost of storage - add another PV panel.
They haven't been made in USA in decades but there are some imports - Google NiFe batteries
Perhaps someone will make them stateside again at a reasonable cost.