Two Plus Two Newer Archives - Flopped a full house...not excited

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Flopped a full house...not excited

I have no relevant information on my opponent in this hand.

Full Tilt No-Limit Hold'em, $0.50 BB (6 handed) Full Tilt Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

MP ($23.30)
CO ($80.35)
Button ($42.35)
SB ($48.50)
BB ($49.40)
Hero ($49)

Preflop: Hero is UTG with K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/diamond.gif[/img].
Hero raises to $2, 4 folds, BB raises to $6.5, Hero calls $4.

Flop: ($12.75) K[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/spade.gif[/img], A[img]/images/graemlins/club.gif[/img] (2 players)
BB checks, Hero checks.

Turn: ($12.75) 6[img]/images/graemlins/diamond.gif[/img] (2 players)
BB checks, Hero checks.

River: ($12.75) 7[img]/images/graemlins/diamond.gif[/img] (2 players)
BB bets $6, Hero calls $6.

Final Pot: $24.75

What do you guys think about the way I played this? First of all, I just called the reraise preflop because I had position on him. Initially, I thought I might be good on the flop. I checked in case he had JJ or QQ in the hopes he might catch a "miracle" card on the turn. However, when he checked the turn, I started to get that sick feeling I was beat. When he bet the river, I thought about raising but decided it wasn't a good idea. I was just convinced he had AA or AK at that point. He's not calling a raise on the end with Ax most likely.