QQ in SB 2/4 6-max on terrible flop

[yellowjack]

I checked the flop because it was very draw heavy and was hoping to checkraise someone in LP. Unfortunately the player to my left bet and someone raised, so I looked to checkraise a safe turn card.

I did this while thinking of "two overpair hands" from HPFAP, is this way off in a 6-max game?

Please comment on all streets.

PokerStars 2/4 Hold'em (6 handed) FTR converter on zerodivide.cx

Preflop: Hero is SB with Q[img]/images/graemlins/spade.gif[/img], Q[img]/images/graemlins/club.gif[/img].
UTG calls, MP calls, CO calls, Button calls, <font color="#CC3333">Hero raises</font>, BB calls, UTG calls, MP calls, CO calls, Button calls.

Flop: (12 SB) 7[img]/images/graemlins/diamond.gif[/img], 8[img]/images/graemlins/diamond.gif[/img], 5[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(6 players)</font>
Hero checks, <font color="#CC3333">BB bets</font>, UTG folds, MP calls, <font color="#CC3333">CO raises</font>, Button calls, Hero calls, BB calls, MP calls.

Turn: (11 BB) Q[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
Hero checks, BB checks, MP checks, <font color="#CC3333">CO bets</font>, Button calls, <font color="#CC3333">Hero raises</font>, BB folds, MP calls, CO calls, Button folds.

River: (18 BB) 2[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
Hero checks, <font color="#CC3333">MP bets</font>, CO calls, Hero calls.

Final Pot: 21 BB