My credit union membership voted and opted out of Federal insurance on deposits maybe 10 years ago, and our deposits are insured to a higher than $250,000 limit in a Federally approved insurance plan. I don’t know if that changed back to the Federal plan for credit unions at some point or not. In any case, I’m not worried about my deposits.
My understanding is that banks don’t fail by losing all of the depositors’ money. They fall below the ability to cover some mandated amount, then the government assumes control and sells the bank assets to another bank, with insurance covering the shortfall, if any. It’s a bit less dramatic than people think. I have a friend who has been through 2 bank failures. First was WaMu, whenever that was, and second was the recent First Republic. In both cases, Chase is who ultimately ended up with his accounts. He thinks Chase is chasing him and really wants him as a customer. Anyway, from his experience, it’s totally painless from a customer perspective. Just keep using your accounts as usual until the new checks and cards arrive.