Villain is 15/10 TAG nit with 5% 3bet. 57% fold to cbet.

I thought that it's not unreasonable that I would check the turn with 44/QQ/QT in his eyes (I probably wouldn't). He could be scared of KJ as well.

BB ($948.60)
UTG ($862.60)
Hero (MP) ($783.40)
CO ($400)
Button ($438.40)
SB ($370.80)

Preflop: Hero is MP with 5, 6
1 fold, Hero bets $14, 1 fold, Button calls $14, SB calls $12, 1 fold

Flop: ($46) 10, 4, Q (3 players)
SB checks, Hero bets $32, Button calls $32, 1 fold

Turn: ($110) 10 (2 players)
Hero checks, Button checks

River: ($110) 9 (2 players)
Hero checks, Button bets $62, Hero raises to $737.40 (All-In), $330 for villain to call.