what line with QQ on AA flop?

[Jocke_F]

was wondering a bit about the line I took on this hand really is that good, what line do you others think is best?

Party Poker No-Limit Hold'em, $ BB (6 max, 5 handed) converter

Button ($12)
SB ($39.1)
BB ($40.05)
UTG ($68.75)
Hero ($84.15)

Preflop: Hero is MP with Q[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/diamond.gif[/img]. SB posts a blind of $0.25.
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $2</font>, <font color="#666666">2 folds</font>, BB calls $1.50.

Flop: ($4.25) A[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/heart.gif[/img], 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $3</font>, BB calls $3.

Turn: ($10.25) T[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $6</font>, BB calls $6.

River: ($22.25) 3[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, Hero checks.

[noggindoc]

I like the river check. I can't imagine what hand is calling another bet that you are beating (maybe JJ?)and you can't call a raise.