Value bet the turn?

[chaz64]

Paradise Poker 0.02/0.04 Hold'em (8 handed) converter

Preflop: Hero is UTG with A[img]/images/graemlins/diamond.gif[/img], J[img]/images/graemlins/diamond.gif[/img].
<font color="#CC3333">Hero raises</font>, UTG+1 folds, MP1 folds, MP2 folds, CO folds, <font color="#CC3333">Button 3-bets</font>, <font color="#CC3333">SB caps</font>, BB calls, Hero calls, Button calls.

Flop: (16 SB) 6[img]/images/graemlins/diamond.gif[/img], 4[img]/images/graemlins/heart.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">SB bets</font>, BB calls, <font color="#CC3333">Hero raises</font>, Button calls, SB calls, BB calls.

Turn: (12 BB) T[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, Hero checks, Button checks.

With a flush draw alone I don't have enough callers here for value. With the overcards I do - but I would think based on pre-flop action these outs are not clean. So do you bet here, or no?

River: (12 BB) 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
<font color="#CC3333">SB bets</font>, BB folds, <font color="#CC3333">Hero raises</font>, Button folds, <font color="#CC3333">SB 3-bets</font>, <font color="#CC3333">Hero caps</font>, SB calls.

Final Pot: 20 BB

Thanks for any comments.