bet turn with low pair, and draw, after pf was capped?

[Wynton]

I got conflicting advice on this hand, as to whether I should have bet the turn. I was new to the table, so no reads.

Party Poker 5/10 Hold'em (6 max, 6 handed) pokerhand.org hand converter

Preflop: Hero is CO with 7[img]/images/graemlins/spade.gif[/img], 7[img]/images/graemlins/heart.gif[/img].
<font color="#666666">2 folds</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">Button 3-bets</font>, <font color="#CC3333">SB caps</font>, <font color="#666666">1 fold</font>, Hero calls, Button calls.

Flop: (13 SB) 9[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/club.gif[/img], 8[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets</font>, Button calls, SB calls.

Turn: (8 BB) 6[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, Button checks.

River: (8 BB) Q[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, Button checks.

Final Pot: 8 BB