How do solvers prefer to play AA postflop ? I know that there's checking on boards like 789 when you're IP, for example.

I ask this having recently played a pot with AA. Raised from 2.5x from the CO, BB calls.
Play is at 20NL on global. Lots of recreational players, some players who are showing some signs of adjustment.

Flop comes J92. I bet almost ~50% pot. He calls.
Turn comes Qh. Now there's a flush draw available.
I check.
River is Qs. I bet slightly under half-pot. Villain calls.

Wanted to bet ~1/3rd pot ott, but feels off. Turn completes some two pair, and straight draws. Suppose that we'd be getting called by pair + draw type hands, specifically those with Tx in them. But seems a bit, thin ?

I mean, maybe in some world I'm not 3 barrel bluffing enough. Haven't done it so much, to the point where AA seems like an automatic 3 barrel or anything. But seems like, it's actually not that strong of a hand.

Is this typically a spot where solvers are checking AA ? Any other boards worth mentioning ? Would plug this into a solver, but haven't got around to that yet.
Do know that in 3 bet pots, since SPRs are low enough 100BB effective, top pair hands are generally supposed to be enough.

I haven't checked sim either but I wouldn't think AA is a slam dunk triple on this turn a lot of the time. I don't mind finding some checks at all, but betting turn still seems reasonable. There are definitely some rivers that would be nice to triple, but plenty of mediocre cards and action killers.

On the river going under half feels like a bit of an underplay. I think you want to be betting KK AA bigger, maybe 66% or 75%. And in an exploitative sense, you can still get paid by worse and we aren't gonna get x/r bluffed often by most villains.

Edit: quickly checked wiz, seems like my intuition was decent for once

Seems about right ! Going larger otr, since our hand is slightly under repped, also, it will allow us to have more bluffs in that situation. Did bet barely under half.
Verifies that, holding pocket AA, seems like we really shouldn't be getting too trigger happy on particular runouts...