Pre is marginal, flop is fine, although since you block most of villain’s potential bluffs (QJ, J9) and your flop bet-call range is mostly Kx, I wouldn’t expect villain to have many (if any) bluffs on the turn. It’s hard for them to anticipate you folding the turn very often. I think call flop with the expectation of villain often shutting down, and then fold turn to a bet is okay.

Be careful about flatting offsuit hands pre. This spot is okay versus a wide opening range, but don’t do it against tighter ranges.

I figure you mean villain had 97s. Seems like a good line from them, stacks are right for them to put you in some tough turn spots, and the nature of the flop is such that you might have a range advantage, which makes building a flop c/r range pretty good for villain. They can certainly c/r their 88/TT/T8 super profitably on flop, and probably balance that with a good amount of 97/J9/QJ since those hands block your KQ/KJ type stuff.

Let’s dissect the rest of your last post. Would folding or 3-bet jamming flop be better? Well, think about what the benefits of each of them might be. If you’re folding flop, you’re saying that calling is unprofitable, which would mean villain would have to be super strong on the flop. Maybe that’s true, I don’t know. But if villain isn’t super strong on the flop, then one of two things is possible – either they’re not super strong on flop and they’re always continuing the turn, in which case you just call flop and call almost all turns, or they’re not super strong on flop and giving up some turns, in which case you just call flop and check back turn. Not really many difficult decisions anywhere unless you call flop without anticipating turn action.

3-bet jamming flop seems like the kind of play people make when they “just want to end the hand” or when they don’t know what else to do, or they’re afraid of a turn decision. It clearly doesn’t get called by worse or get better to fold, so there’s not really any reason to do it. You don’t control whether the hand ends now or not – your job is to anticipate villain’s likely actions and make the best play based on that. You’re adapting to circumstances, not trying to manipulate them.

As for “does the risk of running into a monster outweigh the prospect of stacking villain”, well, that’s a simple EV calculation based on ranges. If it’s profitable, take the spot. EV takes into account all factors.

Forget about what % of your stack it is. Focus on whether it’s profitable. Humans are naturally inclined to protect what they have instead of looking for more – it’s called ‘loss aversion’. Try to avoid it as much as possible. “Wait for a better spot” should not be in your vocabulary.

“Would you 4-bet jam for 25-50% or more?” – it depends. If it was profitable, yes. If it wasn’t profitable, no. Try to get out of the mentality of thinking in terms of stack preservation. Developing your ability to estimate EV comes from running lots of calculations. That’s the only way to get better at the math.