Turn range w/ top set in 3b pot?

Posted 9 years, 8 months ago

Blinds: $0.10/$0.25 (6 Players) BN: $134.31 (Hero)
SB: $102.38
BB: $37.61
UTG: $60.20
MP: $37.25
CO: $16.79

Preflop ($0.35) Hero is BN with A A K 3

UTG raises to $0.85, 2 folds, Hero raises to $2.90, 2 folds, UTG calls $2.05

Flop ($6.15) 8 9 A

UTG checks, Hero bets $5.00, UTG calls $5.00

IP, my default turn range in this spot, on 200bbs, is:

Bet-call/jam: {2-4,8,9,Ko}
Check-back: {6,7,T-Q,diamonds}
Bet-fold: {5o}

Thoughts on bet-fold 5o as stacks get deep? (Not going to bother looking specifically at what stack size bet-calling off 28% is b/even here, but looks close upto 125bbs.)
What vill stats are important for putting boats/quads into turn betting range?