Haven't read any of the replies here so sorry if this has already been said.
I don't mind the squeeze pf at all, specially with such a fish inbetween us and the villains fold to 3bet being so high, he seems sensible enough so you'd fold out a lot of PP's that have a decent amount of equity vs AQ. When he flats though i think that KK+ can't be taken out of his range as he'd maybe flat there to milk some more out of the fish
On the flop i'm not sure if this is WA/WB, hopefully someones said something about this in the other replies, i don't think it is as he's either got AK or a PP imo, which your obv ahead of, all your WB is KK+ which i presume would have 4bet PF, but my thinking is that i'd cbet about $20 both for value against AK and PP's from like 99-JJ that would peel one here and for protection against the FD, i dunno about getting it in on the flop though if he c/r's, thats a tough one.
I cbet here, then barrel any blank turn and check back a K, may be crap analysis but its a tough spot for me.