Playing AAA like a fool, or bein a hustler?

[flopmonster]

BB is fairly loose caller
MP1 is LAGG

Party Poker 3/6 Hold'em (8 handed) converter

Preflop: Hero is MP2 with A[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/heart.gif[/img].
<font color="#666666">2 folds</font>, MP1 calls, <font color="#CC3333">Hero raises</font>, <font color="#666666">3 folds</font>, BB calls, MP1 calls.

Flop: (6.33 SB) 2[img]/images/graemlins/heart.gif[/img], 7[img]/images/graemlins/heart.gif[/img], A[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">MP1 bets</font>, Hero calls, BB calls.

Turn: (4.66 BB) 9[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">MP1 bets</font>, Hero calls, BB calls.

River: (7.66 BB) 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
BB checks, <font color="#CC3333">MP1 bets</font>, <font color="#CC3333">Hero raises</font>, BB folds, MP1 calls.

Final Pot: 11.66 BB

I really don't know what I was thinking here, but I didn't want to cut off BB because I thought he had something like middle pair. Just where should I have raised here?