Villain iso'd 4/8, iso cbetting 0/2.

I think villain's river checking range is very showdown-value-heavy, as most strong traps would bet turn or river, and air that decided to check the flop would often bet either turn or river. I decided not to bet the turn, as I have some SDV vs his (rare) air, and I don't want to bet into his KK-99, plus I can get K high to fold on the river with one bet often.

Do you think KK-99 are folding to a 75% pot river bet often enough? Or should we bet larger (a shove is 2x pot), thereby also being able to fold out some rare Ax as well?

PokerStars - 15/30 NL (2 max) - Holdem - 2 players
Hand converted by PokerTracker 4

Hero (SB): 12.27 BB
BB: 21.07 BB (VPIP: 66.67, PFR: 44.83, 3Bet Preflop: 0.00, Hands: 30)

Hero posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has 9 Q

Hero calls 0.5 BB, BB raises to 2.5 BB, Hero calls 1.5 BB

Flop: (5 BB, 2 players) A 2 3
BB checks, Hero checks

Turn: (5 BB, 2 players) 8
BB checks, Hero checks

River: (5 BB, 2 players) 4
BB checks, [color=red]Hero ?

would never make a 15s player to fold KK-99 on this river imo