It's possible to make crypto cash locally tho. Thing of it this way, in your small town you the people establish a bank, basically a warehouse where you can lockup assets. This time and unlike the globalists banks with full transparency. Then for every item deposited to this warehouse an entry of new value is added to the blockchain.

You then have a local WAN in the town, so when an item is deposited to blockchain you all receive this update in the next block, verify it and now has the latest updated wallet. Let's even make it so that the system updates once per day or week max. This means, you'll have the most recent version, even if you lose WAN connectivity for a few days.

Now why you you wanna do this then? Well because now you have a local currency, which you can print to slips of paper, and unlike regular cash you can verify that it actually has the value it claims to have by scanning it's QR code in case you don't trust the person trying to pay you. Best of all, this new local currency is also backed 1:1 by real physical gods. Also make sure to regularly audit the "bank" and switch the people responsible for it with votes on a regular basic, and ban loans.

Then if they at some point tries to steal from the warehouse hang them high in nearest light pole.