77 in CO flops gutshot

[morberg]

Party Poker 0.5/1 Hold'em (10 handed) converter

Preflop: Hero is CO with 7[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/spade.gif[/img]. UTG+2 posts a blind of $0.75.
UTG calls, UTG+1 calls, UTG+2 (poster) checks, <font color="#666666">3 folds</font>, Hero calls, Button calls, SB completes, BB checks.

Flop: (7.50 SB) 4[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(7 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, UTG folds, UTG+1 calls, UTG+2 calls, <font color="#CC3333">Hero raises</font>, Button folds, SB calls, <font color="#CC3333">BB 3-bets</font>, UTG+1 calls, UTG+2 calls, Hero calls, SB calls.

Turn: (11.25 BB) 6[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
<font color="#CC3333">SB bets</font>, BB folds, UTG+1 calls, UTG+2 calls, <font color="#CC3333">Hero raises</font>, SB calls, UTG+1 calls, UTG+2 calls.

River: (19.25 BB) 6[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, UTG+1 checks, <font color="#CC3333">UTG+2 bets</font>, Hero calls, SB calls, <font color="#CC3333">UTG+1 raises</font>, UTG+2 calls, Hero calls, SB calls.

Final Pot: 27.25 BB

Results in white below: <font color="#FFFFFF">
SB has 7d Ks (straight, seven high).
UTG+1 has 4c Ac (two pair, sixes and fours).
UTG+2 has 6s 3c (full house, sixes full of threes).
Hero has 7c 7s (straight, seven high).
Outcome: UTG+2 wins 27.25 BB. </font>

This hand annoyed me like nothing else during my session today (my first time at Party). Should I have played it differently?