Thoughts?

Flop is really dry - happy to check and let him have a go at it, and if he's flatted KQs, KJs, KTs etc, then happy to let him bet it.

Turn - gets a bit interesting. All of a sudden, if he was betting KJs, or even JJ on the flop, now the waters muddy. I feel the call is fine though.

River - obviously KJs, KTs, JJ, 33, 44 all have us beat. Does he ever play AQ this way - how about TT? We block a lot of the AQ combos, so happy to rule it out. Easy call or can we find the fold button?

I'd play flop and turn the same way.

This is definitely a tough river spot since we're on top of our range.

Can villain have air here?
Unlikely. AQ got there and no busted fd.

Can villain be shoving with worse hands?
Unlikely. AK is heavily blocked. KQ probably check back

Villain credibly represent better hands?
Yes. KJs, KTs, JJ, AQ. I will discount 33, 44 because you're not deep and TT because he bets turn.

Player read/player type read/population read?
Only you and other 50NL PS regs can answer this. But personally, I'll lean more towards folding.

Bet the flop u have the strong range u want money going in. callriver

I called, and he showed 9h8h - credit to him for going three streets.

Should his bluff have got through? Did I play the hand too passively or was it just a case of playing it correct at the right time? I honestly could've gone either way with the river call.

My thoughts are if we're going to check the flop to give him a chance to bet at it then we need to be calling down unless the runout is super scary. This isn't the best runout possible but it isn't really close to the worst one either.

I like playing more straightforward in this situation. It's unlikely a decent king folds to bets anyways and we avoid putting ourselves into a dicey situation unsure of how to proceed.

I haven't played in awhile but I would bet flop, as played I think we should always call down. I assume you play KK,JJ,KJs the same way and I've played enough 50NLz to know that people tend to overbluff these spots when you check flop, so I don't think those hands are enough.

The only real bluff hand that makes sense imo is QTs, but I expect people to showdown with so much nonsense. Him betting all 3 streets doesn't make much sense unless he flopped a set or maybe has KJs which I think he should check back.

Bet the flop. It's dry, so bet 1/4 to 1/2 pot.

Bet flop 33%

I disagree with almost all of this.
Checking flop seems like a pretty big mistake, AA just seems like the absolute nut betting hand after 34s. What would you rather bet than AA? I would rather trap with Kx because you block him from having good hands much more than with AA.
You are also not near the top of your range at all because you can have KK, JJ, TT, KJ, KT, AQ, and maybe even the lower sets if you're going to be trapping AA on this board.
Villain is not really repping AQ or JJ because those should be checking the flop but he can conceivably have AK.
The fact that you beat part of his possible value range makes this hand a mandatory call imo

FWIW, I have no problem cbetting on the flop. I just want to include AA in my checking range when it doesn't need protection from dry boards and when the 1-hand that can call 3 streets is heavily blocked (AK this time) and thus will make my checking range more stronger since I won't be cbetting my whole range here.

Postflop, that's why I said only the 50nl PS regs can answer this because they will have the reads on how the population plays when the pf 3-bettor play flop this way.

I believe Villain's value range is thinner than it looks.

KJo likely fold pre and only 2 combos KJs
Also only 2 combos of KTs plus TPWK less likely to continue w/ big turn bet so I'd discount to 1 combo
3 combos of JJ, and JJ often checks back flop, so I'd discount to 1 combo
We double block AQ leaving 8 combos, but AQ usually would chk back flp so Id discount to 3 combos
33 & 44 are 6 combos but I'd have to think those go away pretty often pre, (say 3 combos)

So based on my rough estimates he will have about 10 value combos on the river. When considering this tiny value range and the fact our flop check under-reps us thus increasing Villain's bluffs, I think its a call. Plus, if Villain could even very occasionally be value owning himself with AK it becomes a slamdunk call.

check KK not AA, on river opponent can be jamming AK so we have to call. Just question if we think about folding river is sign we should have bet the flop.

If you think about trapping than at least use AK that blocks top pairs.