QTo turn peel and river bluff

[Burnsabre]

SB is SLPP, 40/3/.5/41, straightforward postflop. BB is pretty laggish 60/14/1.8/38, I know he'll 3 barrel with position heads up with Q and K high air but don't know much about his ability to 2 barrel OOP in a 3 way.

Limit Holdem Ring game
Limit: $5/$10
4 players
Converter

Pre-flop: (4 players) Hero is Button with T[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/club.gif[/img]
UTG folds, <font color="#cc0000">Hero raises</font>, SB calls, <font color="#cc0000">BB 3-bets</font>, Hero calls, SB calls.

Flop: 5[img]/images/graemlins/club.gif[/img] 8[img]/images/graemlins/heart.gif[/img] 2[img]/images/graemlins/spade.gif[/img] (9SB, 3 players)
SB checks, <font color="#cc0000">BB bets</font>, Hero calls, SB calls.

Turn: 9[img]/images/graemlins/spade.gif[/img] (6BB, 3 players)
SB checks, <font color="#cc0000">BB bets</font>, Hero calls, SB calls.

Is this enough to make this peel with a passive player behind me?

River: 4[img]/images/graemlins/club.gif[/img] (9BB, 3 players)
SB checks, BB checks, Hero bets?