Having a deep stacked cold caller in the pot always creates an interesting dynamic. What should be my play here? thanks!

Merge - $0.10 NL - Holdem - 8 players
Hand converted by PokerTracker 4

UTG+1: 207.2 BB (VPIP: 55.00, PFR: 20.00, 3Bet Preflop: 0.00, Hands: 20)
MP: 121.4 BB (VPIP: 15.00, PFR: 10.00, 3Bet Preflop: 11.11, Hands: 20)
MP+1: 100.3 BB (VPIP: 24.14, PFR: 6.03, 3Bet Preflop: 0.00, Hands: 116)
Hero (CO): 88.5 BB fyi and fwiw merge doesn't seem to auto rebuy - I have to manually add chips which is a pain, otherwise I'd be at a 100bb to start the hand.
BTN: 49.6 BB (VPIP: 30.00, PFR: 20.00, 3Bet Preflop: 11.11, Hands: 20)
SB: 139.3 BB (VPIP: 85.00, PFR: 5.00, 3Bet Preflop: 0.00, Hands: 20)
BB: 81.7 BB (VPIP: 30.00, PFR: 5.00, 3Bet Preflop: 0.00, Hands: 20)
UTG: 126.1 BB (VPIP: 13.16, PFR: 7.89, 3Bet Preflop: 6.67, Hands: 38)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has K K

fold, fold, fold, fold, Hero raises to 3 BB, BTN calls 3 BB, fold, BB calls 2 BB

Flop: (9.5 BB, 3 players) J 4 5
BB checks, Hero bets 6.3 BB, BTN raises to 18.9 BB, BB calls 18.9 BB, Hero calls 12.6 BB

should we be raising or dare I say it - fold - considering sprs and probable actions to follow ott:

Who is the deep stacked cold caller?

I'm getting it in on the flop here versus the half stacker.

Given the stats, and the stack sizes, I think we can Jam.

Jam otf?

By who do you mean sn? So after he cc we are jamming hoping to fold out bb? Thanks.

Yes.

No we're hoping to be called by both of them with worse hands but if the BB folds to our jam so be it. If we flat BTN's raise we're committed versus him anyway.