Actually your first impression that he has QQ+ and AK is fair and good enough reason to call here IP. The only thing I dissagree with all this talk is about FE. With this flop your not in any need of FE with that range. He's not folding any of those hands as you said and folding AK really doesn't help since we are far ahead of AK part of the range that you gave him for his pre flop 3bet. Getting this in on the flop is a great idea, I am not so sure about raising the turn though. He priced you in on your draw vs his range that you assigned and you can call here profitably. I'm not so sure you have the FE to raise this turn vs him and got lucky against the bottom of that range, or he made a NIT fold.