I'd push preflop. I think you need to push with both your good and "bad" hands on the bubble in order to give your aggression some crediblity. Why suddenly get cute when you have a monster?

Post-flop is pretty tough. You can't checkraise him off his hand if he bets, in my opinion, because you don't have enough chips left to make him lay anything down. If you fold, you're down to, what, about $870?

Blech. I guess I just push and close my eyes. Don't know if you have much if any FE, though. Bad spot to be in.