Big mistake on the flop?

[Tom Martell]

UTG+1 and MP2 are loose passive. CO is TAG.

Party Poker 3/6 Hold'em (10 handed) converter

Preflop: Hero is UTG+2 with A[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">1 fold</font>, UTG+1 calls, <font color="#CC3333">Hero raises</font>, <font color="#666666">1 fold</font>, MP2 calls, <font color="#666666">1 fold</font>, CO calls, <font color="#666666">3 folds</font>, UTG+1 calls.

Flop: (9.33 SB) A[img]/images/graemlins/heart.gif[/img], Q[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
UTG+1 checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">MP2 raises</font>, CO calls, UTG+1 calls, <font color="#CC3333">Hero 3-bets</font>, MP2 calls, CO calls, UTG+1 calls.

This 3-bet might be much worse than a check raise on the turn. Given the 2 others limping along, if I just call and check, MP2 will almost certainly bet. I then get 1-2 calls and can raise, netting me several more bets than my play.

Thoughts?

Turn: (10.66 BB) Q[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
UTG+1 checks, <font color="#CC3333">Hero bets</font>, MP2 calls, CO folds, UTG+1 calls.

River: (13.66 BB) 9[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
UTG+1 checks, <font color="#CC3333">Hero bets</font>, MP2 calls, UTG+1 calls.

Final Pot: 16.66 BB