Overpair, flush board line check

[holdin2]

Villian was 44/13 over 40 hands with him.

The raise seemed too small to me on the flop to be a set with the flush board out there so I figured I was most likely ahead against a straight draw or a pair+flush draw. I planned on check bombing the turn with a safe card.

Good, bad?

PokerStars No-Limit Hold'em, $0.50 BB (4 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

saw flop|saw showdown

UTG ($50)
Button ($174.50)
Hero ($48)
BB ($80.75)

Preflop: Hero is SB with K, K.
1 fold, Button calls $0.50, Hero raises to $2.5, 1 fold, Button calls $2.

Flop: ($5.50) T, 5, J (2 players)
Hero bets $4, Button raises to $9.5, Hero calls $5.50.

Turn: ($24.50) 6 (2 players)
Hero checks, Button bets $12.5, Hero raises to $36 (all in)

[will641]

seems fine to me.

[andy-akb]

If you think you are ahead, get it in on the flop. His range could be so many different draws so on the turn, how are you going to know what a safe card is? Also, how do you know your opponent would bet a blank card? If he really is drawing and is in position, wouldnt it make sense for him to check behind on a blank? By checking you are giving him another chance to hit his draw and I just cant imagine you are going to be able to safely c/r the turn often at all.

[holdin2]

If you think you are ahead, get it in on the flop. His range could be so many different draws so on the turn, how are you going to know what a safe card is? Also, how do you know your opponent would bet a blank card? If he really is drawing and is in position, wouldnt it make sense for him to check behind on a blank? By checking you are giving him another chance to hit his draw and I just cant imagine you are going to be able to safely c/r the turn often at all.

Ya, I'm still unsure what to do. If you do correctly put him on a pair plus flush draw or fd+oesd, pushing the flop you are basically a coinflip (little ahead, little behind depending on his straight possibilities or ace).

So flop push = 50/50 +/- 5%
Turn = 67% chance of gaining about 70/30 advantage by dodging 15 of villians outs

Do you fair better hoping you are slight flop favorite or leading/pushing turn on a hopeful safe card or hoping opp is willing to bet turn?

Edit: Wait, can't forget that pot equity thing. If I push flop I could possibly just scoop the $15 right there or if he calls I'd be investing $42 to win $59 on a flip. Does this make it clear push then?