Villain 13/12 over 68 hands RFI EP 17 (6/35) fold to 3b 1/1. Think flop probably crushes his 3b flatting range. I bet the turn because I felt like I needed to because of necessity but after the hand I was thinking that checking back the turn would have been okay. Okay to check turn here?

BTN: 50.5 BB
SB: 106.5 BB
BB: 19.5 BB
UTG: 139.5 BB
UTG+1: 131.5 BB
MP: 144.5 BB
Hero (CO): 109.5 BB

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has A A 

UTG raises to 3 BB, fold, fold, Hero raises to 10.5 BB, fold, fold, fold, UTG calls 7.5 BB

Flop: (22.5 BB, 2 players) J Q T 
UTG checks, Hero checks

Turn: (22.5 BB, 2 players) 4 
UTG checks, Hero bets 13 BB, UTG calls 13 BB

River: (48.5 BB, 2 players) 4 
UTG bets 31 BB, fold

UTG wins 46.5 BB