Flopped set, check behind on turn?

[d10]

I've been working on sensing turn check raises a lot lately, because it's part of my game that gets me into a lot of trouble. I'm usually overaggressive on the turn and fall into a lot of traps. I've started to check behind more turns when I think I'm getting set up for a check raise.

This hand isn't technically short handed, but after the first 3 folded I played it just like I would in MP at a 6-max table, and I trust this forum for advice more than SS.

Full Tilt Poker $15/$30 Hold'em (9 max, 8 handed) converter

Preflop: Hero is MP with 7[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">3 folds</font>, <font color="#CC3333">Hero raises</font>, CO calls, <font color="#666666">1 fold</font>, SB calls, BB calls.

Flop: (8 SB) 6[img]/images/graemlins/diamond.gif[/img], K[img]/images/graemlins/club.gif[/img], 7[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, <font color="#CC3333">Hero bets</font>, <font color="#CC3333">CO raises</font>, SB calls, BB calls, <font color="#CC3333">Hero raises</font>, CO calls, SB calls, BB calls.

With all that action I'm thinking at least one guy has either a flush draw or an OESD, although I don't have any real reads on any of these guys.

Turn: (10 BB) 3[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, Hero checks, CO checks.

I think that card is ugly, and I opt to check behind. Anyone agree with this play?

River: (10 BB) 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">SB bets</font>, BB folds, Hero calls, CO folds.

Final Pot: 12 BB