($16) AA and turn decision

[11t]

No reads.

Blinds are 15/30

Relevant Stacks:

Villain in UTG+1 (1570)
Hero in MP (1470)

Hero has: A [img]/images/graemlins/club.gif[/img]A [img]/images/graemlins/heart.gif[/img]

UTG folds, Villain limps, Hero raises 5xbb to 150, folds to Villain who calls.

Flop is: 9 [img]/images/graemlins/spade.gif[/img]4 [img]/images/graemlins/club.gif[/img]T [img]/images/graemlins/spade.gif[/img], pot is (345)

Villain checks, Hero bets 300, Villain quickly calls

Turn is: 4 [img]/images/graemlins/spade.gif[/img], pot is 945

Villain leads out for 250, Hero...

Okay, so I had no clue what to do here. This bet seems to be enticing me to push over the top. If villain open limped in EP with 99/TT/JJ then I am only beating JJ. Presumably villain is raising preflop with QQ/KK/AA and if not they are limp raising. If villain open limped with some sort of suited broadway cards (KJs, QJs, KQs) than they too hit on the turn. It seems like we are both destined to become pot committed and one of us is drawing nearly dead and there is a chance it is myself.

Suggestions?