KK sees A on turn, one opponent, check through river?

[SofaCoach]

Straight forward hand up until the scary turn card and river decision.

Party Poker 2/4 Hold'em (9 handed)

Preflop: Hero is BB with K[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/heart.gif[/img].
UTG calls, UTG+1 folds, MP1 folds, MP2 folds, MP3 calls, CO folds, Button calls, SB completes, <font color="CC3333">Hero raises</font>, UTG calls, MP3 calls, Button calls, SB calls.

Flop: (10 SB) J[img]/images/graemlins/spade.gif[/img], 9[img]/images/graemlins/diamond.gif[/img], 5[img]/images/graemlins/heart.gif[/img] <font color="blue">(5 players)</font>
SB checks, <font color="CC3333">Hero bets</font>, UTG folds, MP3 calls, Button folds, SB calls.

Turn: (6.50 BB) A[img]/images/graemlins/club.gif[/img] <font color="blue">(3 players)</font>
SB checks, <font color="CC3333">Hero bets</font>, MP3 folds, SB calls.

River: (8.50 BB) Q[img]/images/graemlins/club.gif[/img] <font color="blue">(2 players)</font>
SB checks, Hero checks.

Final Pot: 8.50 BB

I've been checking alot of these types of hands thru. Am I missing value bets? My thinking is that many weak hands and busted draws will fold anyway, and I avoid the guy that lets the PF raiser keep betting until the river where he check-raises.

[Nemesis]

yes you're missing value bets. Bet it. They call with anything.

[afs]

Betting is probably be better, but I don't think you lose much by checking. You're not getting called w/ a worse hand more than 2/3 or at MOST 3/4 of the time ... how often would your opponent have to check raise for the play to drop to even EV?