TT middle set

Opp is a total monkey, so he can have anything. Am I still never folding to the turn check/raise?

Full Tilt No-Limit Hold'em, $0.25 BB (9 handed) Full-Tilt Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver Cards)

Button ($27.90)
SB ($4.75)
BB ($5.70)
UTG ($56.50)
UTG+1 ($27.60)
MP1 ($15.45)
MP2 ($3.90)
MP3 ($9.65)
Hero ($24.25)

Preflop: Hero is CO with , .
UTG raises to $0.75, 1 fold, MP1 calls $0.75, 2 folds, Hero calls $0.75, 3 folds.

Flop: ($2.60) , , (3 players)
UTG bets $1, MP1 folds, Hero raises to $4, UTG calls $3.

Turn: ($10.60) (2 players)
UTG checks, Hero bets $6, UTG raises to $20, Hero calls $13.50 (All-In).

River: ($49.60) (2 players, 1 all-in)

Final Pot: $49.60

{ Moved to HH }
I pay this off every time.

I would bet the turn bigger though because I'm committed and want him to call off the max for his god-knows-what.