Not sure this should be the absolute top of your range. Think you should have some straights and flushes here. Seems a close spot, but I think I would lean towards a fold, it's hard to come up with bluffs for villain here when he takes this line. Theoretically it might be a call, certainly if this is the top of your range, but vs a low stakes player pool, without a specific read I'd fold.

I think you're right about villain having no bluffs and therefore this should be a fold. In terms of my range, I can't think of any flush or straight hands that I 4 bet in position with then check this dry flop. Or should I be checking my whole range here to avoid having too many bluffs compared to value hands?

I don't think you should be checking your whole range, but I think we have to be careful of not thinking in absolute terms, "this is the top of my range" and using that to justify or make a decision. Our bd nfd's, A5s, and Qx hands that we turned into a bluff pre are likely to be mixed on this flop between chk and bet. I agree AA is very high up in our range, but it's not the very top, and we need to consider villain's range. We may still decide AA is too strong to fold (I'd be happier if we had the As) & that's fine, but we need to be careful not to use "I'm at the top of my range" as an excuse for a decision (something which I myself do to much).