It's true that you'll be stuck in the mental hospital for at least a week (those are 72 business hours). I couldn't afford bail, though, so I was stuck in jail for 3 months[0]. There were plenty of other inmates there in similar situations. YMMV.

[0] That's how long it took for me to get a court date at which point I was released with time served (2 weeks). Getting out of the mental hospital never even required a lawyer (though I'd still recommend retaining one if you're ever in this situation).