KK outranged

Hi guys,

most interesting hand of my morning grind:

Hero (UTG): 110 BB
MP: 125.5 BB (VPIP: 26.47, PFR: 20.59, 3Bet Preflop: 6.25, Hands: 70)
CO: 100 BB (VPIP: 28.15, PFR: 21.48, 3Bet Preflop: 1.69, Hands: 140)
BTN: 123 BB (VPIP: 24.04, PFR: 8.65, 3Bet Preflop: 0.00, Hands: 109)
SB: 121 BB (VPIP: 23.42, PFR: 20.89, 3Bet Preflop: 15.25, Hands: 160)
BB: 94.5 BB (VPIP: 18.00, PFR: 8.00, 3Bet Preflop: 13.64, Hands: 52)

SB posts SB 0.5 BB, BB posts BB 1 BB

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

Hero raises to 3 BB, MP raises to 10 BB, fold, fold, fold, fold, Hero raises to 17 BB, MP calls 7 BB

Preflop I miss-sized my reraise -> normal I go like 25 BB here instead of 17.

Flop: (35.5 BB, 2 players) J♦ T♦ Q♠
Hero bets 26.5 BB, MP calls 26.5 BB

Turn: (88.5 BB, 2 players) K♥
Hero...

So this is really shitty for me because his range smells that hard like AX that I thought it is a 100% fold here. I just can bet my rest chips or give up. If I do not bet here -> he will bet anyway. Maybe it is better to check call here to make him play with a little wider range. But not sure about it and I think on this point both of us are more or less done with the hand and I can not stop going all in.