This is total speculation but I think the Bahamian authorities are significantly more friendly to him then US authorities, and whether or not he could continue to stay without a passport would presumably be their call. If they grant him asylum they might refuse to extradite him.

Let him keep his passport and there's every chance he'll just turn up of his own volition to speak at a conference, give an interview, or pitch a new venture.

I don't think a jury would look kindly on playing so dirty with someone who posed no clear threat and didn't even seem to be on the run. And I don't think it would be right to either, until there's enough evidence to bring charges, he's presumed to be an innocent man in the eyes of the law. (We are of course free to come to our own judgement as individuals.)

All he's doing is giving interviews. Even if he's lying through his teeth (as I believe he is) - it's still his 1A right to do so.