Yes his 3-betting range there is ~12 combos, but I'd still call flop and turn based on the bet sizing without better reads, and donk a club or J river.
Without a read on his betsize - halfpot with AA, KK is kind of unusual for that kind of player. It's usually a lightning fast pot sized bet.
On the turn I don't think there is any chance that his thought process is: "I have the Ac, so I want to suck him in with lower club draws - I better bet small."
Much more likely it's: ONOES A CLUB WHY DOES THIS HAPPEN EVERY TIME!!!1!1