v is 22/18 over a large sample. bets turn OOP vs missed cbet about 35% of the time which looks like pretty much whenever he has something. not really sure what other info would be useful here.

I checkback flop because I don't think I have too much FE here (he'll float his PPs and probably some A-high broadways, and I have equity to call a turn stab if he does it anyway. I also think betting flop is ok, I'm not sure which is the best line. We can of course just bet flop to build the pot.

On the turn it hits my range quite well because I should be checking back AK on the flop (I think), and I might check back with KQ-type hands as well, if I'm thinking I don't have much flop FE. Of course it's probably nice for villain to go for a value checkraise with these assumptions because I should be betting this K a lot. But I doubt he will think that. I bet to rep the K and start building a pot, plan is also to fire most rivers.

When he checkraises it was weird. I don't think A2s is in his range, and I think any set or whatever will start betting the turn itself for V&P. I think his range is pure air or some weird 66-99 turned into a bluff (I think TT-JJ, maybe QQ if he calls will not do this). I think I have the odds to call anyway but there's also implied odds against his weird value if he has any.

On the river when he checks I just decided to bet to try and fold out some hands. I think my range is pretty much Kx for playing this way so he shouldn't be too happy to call with his PPs that "bluffed" and definitely not with his air. But on reflection I don't know if he actually does fold 66-99 to the bet..