To Stack Off or Not? Hand 4

[mxrider]

OR is an ok, but a little call happy w/ 3bets. He is playing a 28/15/1.5 with a 43% fold to 3bet preflop. Button is an unimaginative player both preflop and postflop and I'm putting him on a small/mid pp every single time. We flop an overpair but on a pretty nasty board. I decided to check as I was a bit worried about a flopped set from either player and was ready to bail should there be a bet and a raise. When the button folds, we have a decision to make. We have underrepped our hand so what is our play here?

Full Tilt No-Limit Hold'em, $1.00 BB (6 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

BB ($128.65)
UTG ($220.60)
MP ($100)
CO ($124.30)
Button ($115.50)
Hero (SB) ($102.20)

Preflop: Hero is SB with K, K
UTG bets $3.50, 2 folds, Button calls $3.50, Hero raises to $15, 1 fold, UTG calls $11.50, Button calls $11.50

Flop: ($46) J, 8, 10 (3 players)
Hero checks, UTG bets $22, 1 fold, Hero?

[given1982]

Bet the flop. UTG has a wide range. Button has small/mid pairs according to you--I'm not sure whether that includes TT or JJ, but even if it does, there are 9 combos of sets and 12 combos of QQ and 99.

[tmiby]

bet flop.
I might shove... we loose against set, true. we're ahead against any other pair or draw.
but to be honest. CALLING 3bets utg, very often is a PP. especially qq, jj, tt and 99s here. for me, anything else gets very difficult to play UTG in 3bet pot (suited connectors for example).

[ThatDeviant]

Bet flop. Shove now.

[Aji89]

You're worried about being outdrawn on this flop but by checking I think you're only forcing yourself to stack off against better hands. You're obviously not C/F this flop. C/C allows your opponents to rule out you having sets or AA yourself so you're gonna be OOP on the turn having induced a lot of aggression on an awkward board with a super underrepped hand so you can't C/F many turns either. Basically as Deviant says, you've gotta shove now.

[TheDeKay]

Pot is 46$, you have ~85$ left and an KK-overpair. There is no way, we could ever fold here, without a very good read imo.... Ppl show up with really weird hands and you will feel sooo sick, if Player A has QQ, Player B has 99 and you foldet KK (or something like that).
Folding an overpair in this spot is soooo exploitable to.

So I'm way more likely to think of the best way, to get all their money, if we have them beat, than worry about them havig sets