I 4-bet aces, get called OOP, gross flop, what's my line?

Full Tilt Poker - No Limit Hold'em Cash Game - $1/$2 Blinds - 5 Players - (LegoPoker HH Converter)

SB: $79.25
BB: $211.30
Hero (UTG): $247.90
CO: $129.80
BTN: $258.90

Preflop: Hero is dealt A A (5 Players)
Hero raises to $7.00, CO folds, BTN raises to $24.00, 2 folds, Hero raises to $82.55, BTN calls $58.55

Flop: ($168.10) 3 J K (2 Players)
Hero ?

Pot size push looks good to me.

Well I cant see you folding with so little left behind. Im just trying to decide if he bets QQ when checked to. I think i prefer a C/r allin to a straight out push since the flush/straight draws are so unlikely (especially since you have the A). You probably net the odd extra bet from hands that would otherwise fold. A check is really suspicious but I think if you push he puts you on AA/KK anyway.

I probably just push because it's easy.

However, he can't have a FD therefore there aren't many scare cards, so you could just check the flop and bet the turn 90 or so if he checks behind. That line may be better.

Do anything not involving the fold button.

I like both checking and shoving sometimes.

check-call your way to monieez

Yeah, I was basically wondering if it was worth trying to extract money from QQ.

If villain is a little bit aware he knows you have AA/KK, maybe sometimes QQ.

Is this ever 10-10 or AK from villain? If not, you're more often behind then ahead on this flop.