Lets see: You've got a nit to act after you, villain is nitty & 4-betting you. Calling is out of the question, since the pot is huge, and we gain a ton of equity by folding out one of these players. Since the original raise came from UTG, and I still have a super tight guy to act after me (who suspiciously called a 3-bet), I find a fold. If it were heads up, I'd prolly shove this. But you've got 1 nit who thinks his hand is good for a 3-bet, and another UTG raising nit who is 4-betting you. This is screaming strength to me.
I know you don't want to lay it down because A) you're pretty laggy, B) it looks like he's squeezing you. However, I'm not sure we see JJ or AQ enough here to make this shove profitable.