I would call the river barrel. I think with how you have played the hand through the turn it's really tough to show up with broadway, so sets end up being the top of your range and we need to call or we are just folding too often. Even if you were to argue a very exploitative fold I don't see this line from villain being a frequently under-bluffed one. If anything I think it's often an over-bluffed line once you check to him on the turn OOP. He will perceive your range as quite capped and attack.

I don't really like calling much in the SB, i'd probably 3bet this hand.

As played I would call the river for the reasons Nick mentioned, you sort of underplayed the hand and he's likely not expecting you to be as strong as top set. This is especially true when checked to on the river, I think player pool almost always bets a straight here and top set is the next best thing.
I'd fold if the 5 completed FD.

If we're flatting AAxx preflop (which I kinda like when they're dry), I think we should have a leading range on the flop. Our ranges are both really strong, and I think we should have a leading range on these kinda boards where we smash top set because our strong range makes it more likely that he'll check back a lot of hands that he would bet against a weaker range.

We can lead something like sets, massive combo draws, and some draws that aren't good enough to check-call.

As played, I'd bet the turn. He can call a lot of worse hands.

I call the river because theory, but expect to lose because PLO5 players are tight-passive postflop.

thanks for the feedback guys

which AA no suits are a pfr? AA two broadway cards?
wet flop - hoping to check raise?
aside from potting flop, what about half pot hoping for raise?

(seems in a few recent posts players are checking strong but vulnerable hands)