Merge - $0.50 NL - Holdem - 7 players
Hand converted by PokerTracker 4

SB: $119.70 (VPIP: 15.38, PFR: 7.69, 3Bet Preflop: 0.00, Hands: 40)
Hero (BB): $64.75
UTG: $46.92 (VPIP: 29.90, PFR: 13.07, 3Bet Preflop: 2.28, Hands: 915)
UTG+1: $50.67 (VPIP: 20.94, PFR: 15.14, 3Bet Preflop: 7.33, Hands: 1,649)
MP: $128.04 (VPIP: 26.74, PFR: 13.18, 3Bet Preflop: 8.25, Hands: 266)
CO: $37.47 (VPIP: 18.32, PFR: 8.60, 3Bet Preflop: 1.09, Hands: 538)
BTN: $54.77 (VPIP: 46.67, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 15)

SB posts SB $0.25, Hero posts BB $0.50

Pre Flop: (pot: $0.75) Hero has K K

fold, fold, fold, fold, BTN calls $0.50, SB raises to $3.50, Hero raises to $11.00, fold, SB calls $7.50

Flop: ($22.50, 2 players) 2 3 A
SB checks, Hero checks

Turn: ($22.50, 2 players) K
SB bets $11.25, Hero calls $11.25

River: ($45.00, 2 players) 4
SB bets $45.00, Hero ?

I don't have many hands/history/any reads on villain after 40 hands. His AF is 0.7.

I slow played the turn because I figured I was way ahead of villain's range and didn't think he could call a raise. May have let him get there on the river. Call or sigh-fold this pot sized shove on a river that fills flush draws and maybe an odd wheel draw?

So- fisrt of all, I bet the flop.
Raise the turn and fold the river

I already told you why betting flop is bad, I don't know why you still want to waste your showdown value.

But I like raising turn as there are too many possible flush draws now.

OTR he reps pretty thin and I think this is a close spot, especially since half-pot turn and pot river is a line weak players very often take with a flush draw.
But combo-wise, if we think he always takes this line with AK then this is a call. But BvsB in this spot some of these likely GII pre.

lol, right sry, we are splitting his range by betting otf which is not great

Pre and flop are fine.

Raise turn ainec.

As played, Im sighed folding if I'm on my A-game.

+1 to raising the turn. Flop is fine.