100NL: CR'ed on dry board

I think my equity is pretty good here to at least call and see the turn. Should I bet when he checks?

$0.50/$1 No Limit Holdem
6 Players
Hand Conversion Powered by weaktight.com

Stacks:
UTG ($178.03)
Hero ($125.01)
CO ($132.77)
BTN ($130.43)
SB ($105.69)
BB ($123.55)

Pre-Flop: ($1.50, 6 players) Hero is UTG+1 Q K
1 fold, Hero raises to $4, 3 folds, BB calls $3

Flop: 9 9 2 ($8.50, 2 players)
BB checks, Hero bets $6, BB raises to $12, Hero calls $6

Turn: 10 ($32.50, 2 players)
BB checks, Hero ???

$18 or so

Turn: 10 ($32.50, 2 players)
BB checks, Hero bets $20, BB raises to $44, Hero folds

Final Pot: $96.50

BB wins $93.50 (net +$33.50)

Hero lost $36