Overpair on monotone board

[Mr. Graff]

Reads: BB is loose passive.

Party Poker 5/10 Hold'em (6 max, 6 handed) converter

Preflop: Hero is Button with K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/heart.gif[/img].
UTG calls, MP calls, <font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises</font>, SB calls, BB calls, UTG calls, MP calls.

Flop: (10 SB) 7[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, UTG folds, MP folds, <font color="#CC3333">Hero raises</font>, SB folds, BB calls.

Turn: (7 BB) 4[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets</font>, BB calls.

River: (9 BB) J[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, Hero checks.

Final Pot: 9 BB

I'm beginning to think it is better to check turn and induce a bluff on the river here. I don't think I should be too concerned about giving a free card in this situation since if I get beaten it has likely already happened. How would you play this?

[aslowjoe]

If it is a bluff he will not call your reraise so the result is the same.
Joe