There's no way to "feel" this, if you can look at items on their balance sheet you can determine whether their assets at fair value covers their outstanding debt of not. IF it doesn't, it's likely the bank would break sooner or later, if there was no bank run, it would have died a slow and painful death anyway (or, more likely, somebody would try to make risky bets in attempt to recover).

There hasn't been a buyer yet, which indicates the perhaps the assets aren't that great.