I think this hand would be ok to XC 1 street, given villains wide range you likely still have pretty good equity against his range and given that you are pretty likely to face a raise XC is ok. You can then continue on turn on any Q, 7, A or heart. What are villains barreling stats like if you are likely to see both turn and river for one bet you can definitely XC

bleh I'd cbet, too much pure equity

what Im not sure and would like to ask others:
does having Ah increase or decrease or cbet frequency? Meaning: if we had to choose just one hand to cbet and one to xb(AhJx or AsJx), would we cbet Ah or not?

Im not 100% sure Limp Limpson, but i think having the NFD blocker makes Cbetting this flop really bad. Blocking the NFD makes his continuing range stronger if we bet here.

I.e. if he Check raises his range is weighted more towards sets and made straights

Whereas if we dont have the NFD blocker villian can have a much wider range including many more semi-bluff combos. Even as low as a hand like A5,A4,A7 of hearts if he flats them OP pre. And since he is only folding to 3bets 29% of the time, he easily can.

The only combo I bet here out of my AxJx is probably AJ of spades. Checking back AhJx surely generates way more EV . When you say 'cbet, too much pure equity' I dont really know what you mean. This board is way better for his calling range IMO. He has all 16 combos of KQ, 9 combos of sets and as said before we block the majority of his bluffs. I think Cbetting here is burning money.

I'd probably XB full range on this flop tbh - it just absolutely crushes his calling range oop.