Rho.co claims to offer up to $75M FDIC coverage by splitting their customers deposits to a network of 400 banks. But, I know arrangements like these usually work until they don't. Is this a safe bet, given last week's events?
Well, there is nothing that can prevent a bank run: at times of crisis when bank would suffer a bank run, when trust in currency is lost, government can only print out more money, thus deflating the value of a dollar.
Which is when people will still want to convert to something that is better guaranteed to preserve value: prompting a bank run!
US has so far resisted this because it's such a huge economy that nobody wants to see default on its debts (all foreign debt it has is denominated in USD), and as dollar drops, everybody starts buying in the US.