PokerStars - $0.10 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4: http://www.pokertracker.com

Hero (CO): 116.7 BB
BTN: 155.7 BB (VPIP: 32.50, PFR: 26.25, 3Bet Preflop: 5.00, Hands: 169)
SB: 100.5 BB (VPIP: 22.86, PFR: 19.05, 3Bet Preflop: 8.11, Hands: 109)
BB: 107.3 BB (VPIP: 17.73, PFR: 14.18, 3Bet Preflop: 6.25, Hands: 148)
UTG: 105 BB (VPIP: 24.00, PFR: 12.00, 3Bet Preflop: 0.00, Hands: 52)
MP: 109 BB (VPIP: 23.81, PFR: 19.05, 3Bet Preflop: 12.00, Hands: 67)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has Ks Kc
fold, fold, Hero raises to 3 BB, BTN calls 3 BB, fold, fold

Flop : (7.5 BB, 2 players) Th Jd 7c
Hero bets 5.4 BB, BTN calls 5.4 BB

Turn : (18.3 BB, 2 players) Kd
Hero bets 13.3 BB, BTN raises to 30 BB, Hero???

I've faced several similar situations in the past so I really want to get my thought process right in this spot.

Obviously not folding, question is whether or not to call or to jam.

My thoughts on villains sizing/range: Well it's not really a bluff/semibluff sizing (plus I don't think many villains would try outright bluffing this board). I think 89 and smaller sets takes this line almost everytime, some of the time AQ, some of the time 10J, K10, and KJ. Might also have some combo draws like Q10dd.

My thoughts on calling: If villain is semi bluffing or raising a weaker value hand, then there are a lot of a) scare cards on the river where he gets there/can bluff which leaves me to just guess. Also the scare card factor will stop him from value betting his worse hands.

My thoughts on jamming obvs getting called by all straights, possibly all sets. Two pairs may find a fold here. Combo draws probably call off?

What do you think I should do on the turn and why?