AQ with a ton of outs, how do I get the most value?

[HotPockets]

Again, still learning Limit so any thoughts on where I misplayed the hand would be greatly appreciated.

PokerStars 0.05/0.10 Hold'em (8 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

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

Flop: (6.40 SB) 4[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/spade.gif[/img], 2[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">CO raises</font>, BB calls, <font color="#CC3333">Hero 3-bets</font>, CO calls, BB calls.

Turn: (7.70 BB) 3[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">CO raises</font>, BB calls, <font color="#CC3333">Hero 3-bets</font>, CO calls, BB calls.

River: (16.70 BB) 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
<font color="#CC3333">BB bets</font>, <font color="#CC3333">Hero raises</font>, CO calls, BB calls.

Final Pot: 22.70 BB