KK in position 1-3

Effective stack 280. 9 handed

Hero: KK in UTG+3.

Fold, fold, UTG+2 calls.

Hero: raises to 20
Folds to small blind who calls, UTG+2 calls.

Flop: Ks, 10s, 6s.

Sb: checks, utg+2 checks, Hero: bets 25, call call.

Turn: 5c.

Check, check, hero: bets 40, sb: calls, utg+2 raises to 140.

Hero:?

I am thinking that the biggest likelihood here is that I am probably up against a flush. There is the possibility of 2 pair or a set however I think that most of the time one of them has a flush here. I am thinking if I just call the raise the SB may also call and come along giving me better pot odds to hit the boat.

Would you have checked the flop or bet bigger on the flop?

Would you jam or fold or call to the check raise on the turn?