A4s on a tough board

[BellyBuster7]

I hate how I played this hand, and I could use some commentary...
Party Poker 0.50/1 Hold'em (10 handed) converter (http://www.selachian.com/tools/bisonconverter/hhconverter.cgi)

Preflop: Hero is UTG with A/images/graemlins/spade.gif, 4/images/graemlins/spade.gif. CO posts a blind of $0.50.
Hero calls, UTG+1 calls, <font color="666666">1 fold</font>, MP1 calls, <font color="666666">1 fold</font>, MP3 calls, CO (poster) checks, Button calls, SB completes, BB checks.

Flop: (8 SB) 6/images/graemlins/club.gif, A/images/graemlins/diamond.gif, 6/images/graemlins/diamond.gif <font color="blue">(8 players)</font>
SB checks, BB checks, <font color="CC3333">Hero bets</font>, UTG+1 calls, MP1 folds, MP3 calls, CO folds, <font color="CC3333">Button raises</font>, SB folds, <font color="CC3333">BB 3-bets</font>, Hero calls, UTG+1 folds, MP3 calls, Button calls.

Do I call the 3-bet here? Cap? I'm behind a 6, an Ace/better kicker, and there's a flush draw on board.

Turn: (10.50 BB) K/images/graemlins/club.gif <font color="blue">(4 players)</font>
<font color="CC3333">BB bets</font>, Hero calls, MP3 calls, Button calls.

River: (14.50 BB) 6/images/graemlins/heart.gif <font color="blue">(4 players)</font>
<font color="CC3333">BB bets</font>, Hero calls, MP3 folds, Button calls.

Do I raise my Full House? I'm seriously fearing BB has the last 6 here.

Final Pot: 17.50 BB

[topspin]

I prefer folding the flop after it comes back to me for 2 more bets. Just going for overcalls on the river is fine since I think you're looking at a split pot at best.

[BellyBuster7]

Yeah, I guess I'm thinking I should have folded the flop...or capped. Calling was my worst option. Once I called the 3 bet, I was pretty much in for the long haul.