I'd be bet folding turn and river, given they limped pre-flop I do expect them to call us on the river with worse hands. I'd go ahead and bet fold around $1.50 hoping to get called by Ax.

Betting strong on a semi-dry flop like this, combined with your preflop 3-bet, basically screams for value. I don't know if your opponents pay attention to bet sizing and to the hand in general, but I guess that most of them would be alarmed and correctly fold broadway draws (if your opponent decided to call and not raise preflop) and dominated hands like KT, K7 and Ax (in which case you could get 3 streets of value from some of them), even pocket pairs. You're crushing your opponents range, so you want to bet in order to get value from your opponents' incorrect calls, but not so much that you lose value by making them fold. I would bet the same on the turn and I would also bet the river, around $1.00 to get called by Ax and lose less when raised. I'm not worried about a flush, as only KsJs, Ks7s and 9s8s would have gone that far. A broadway was also completed on the turn, but broawdays and flushes are a small percentage of his range.

In general, I wouldn't rely on the average NL5 opponent to build a pot for me when I have a hand that's worth value betting with. Because of that, unless you're playing against a stab-happy loose-aggressive villain I'd almost always go for the bet/fold option even in spots much thinner than this one.

Against a recreational broken stack get those bet sizes pumped up higher on flop and turn with your 2 pair - it's a huge hand, get paid off. He will call you with weaker aces, gutshots, backdoors, 2nd pairs, all sorts. Never be afraid to go for fat value against the fish.

In terms of check calling - again, without reads that villain stabs versus missed turn bets, just keep betting yourself - you will miss out on a shitload of value by doing so. I dread to think of the amount of money I've left at the table over the years with the line of thinking "I'll check and let him bluff" then watch as he checks behind.

I'd bet harder postflop and not look to be folding for a 3/4 stack. Three streets and stacking off for me, not concerned about the backdoor getting there either, if they hit so beit. I just htink checking the river is too common a leak at micros in spots where we lose loads of value for reasons stated as stated above.
For me to bet/fold it would have to be a lot thinner than this one, but I am aggro versus these guys.

Betting for value in all of 3 streets for me too, that's for sure. But stacking them of with Ax? I don't know... We're facing a recreational player, indeed, but that doesn't necessarily mean they're blindly calling 3 streets of obvious value with Ax, a random backdoor or a random pair. Maybe that was true in the past and it still holds for some players of the present. But, in today's poker online ecosystem, in the long run the question is: is going for max value against all of unknown recreational players more profitable than betting smaller and getting called more frequently? I'm mostly referring to the river. I guess that it comes down to the analogy of these players (ones who blindly call versus the more careful ones, against who we need to be more tricky to extract value). And we didn't count the times that we're on the losing side. But maybe I'm the one who is losing value in these spots...

Oh for sure we could be losing this one, but overall versus these types we're ahead a lot imo.

And yes they would go broke Ax quite a lot, at least in the games I play, maybe zoom is a bit different overall of course (I play Fastfold) but I can see no need to get cagey or 'safe' with a casual limp/caller. Truth is I usually take a bit of a breather on the turn if I get called flop, but not if I hit 2 pair, just far too strong to 'play poker' with imo.

... and yes I do on occasion get stacked by them, I got stacked twice yesterday my AA v their limped KK which hit K both times. The fact remains even in this day and age that these limp/callers are hugely profitable.
Having said that, we take to take note if they are 50/x or 20/x small or whatever of course, it makes a huge difference as to what I iso with and quite frankly I would iso to 5bb at least here usually. If they call that I go for 7 next time ... and if they call that ... which doesn't change my iso range at all.

Good conversation and I don't know if I got my idea across properly, neither do I consider myself even close to infallible, but basically I'm not folding here and would even overbet the flop sometimes, not too often, just sometimes. Am I exploitable? Oh yes! Am I liable to be? ...

Told you I was aggro!