KTs against a passive opponent

[Entity]

Table has been REALLY bad. Most people are calling pot-sized bets on the flop but will fold for another bet on the turn. No real read on opponent, who just sat down. So far, I'm the only one who has been doing raising preflop. I know KTs is a bit weak for a raise here, but my raises have been getting respect, so I'm lowering my raising standards slightly. I've been stealing a lot of blinds successfully with hands like KTs and KJs from the CO.

PokerStars No-Limit Hold'em, $0.02 BB (6 handed)

BB ($2.31)
UTG ($5.10)
MP ($1.78)
Hero ($3.36)
Button ($4.55)
SB ($6.93)

Preflop: Hero is CO with T/images/graemlins/heart.gif, K/images/graemlins/heart.gif.
UTG folds, MP folds, <font color="CC3333">Hero raises to $0.08</font>, Button folds, SB folds, BB calls $0.06.

Flop: ($0.17) 8/images/graemlins/heart.gif, 7/images/graemlins/heart.gif, Q/images/graemlins/diamond.gif <font color="blue">(2 players)</font>
BB checks, <font color="CC3333">Hero bets $0.15</font>, BB calls $0.15.

Turn: ($0.47) 4/images/graemlins/club.gif <font color="blue">(2 players)</font>
BB checks, <font color="CC3333">Hero bets $0.3</font>, BB calls $0.30.

Here's my only debate: check behind and fold UI, or fire one more shell? Opponent could have a Q, could also have a bare Ace, so I'm drawing to between 9 and 13 outs (probably 11).

River: ($1.07) 9/images/graemlins/spade.gif <font color="blue">(2 players)</font>
BB checks, Hero checks.

Final Pot: $1.07