AA in capped pot, what's your line on scary flop?

[shuinthehouse]

FTP .5/1, 3rd hand at table, unknown villain raises UTG, I 3bet AA MP1, folds to villain who caps. Range for villain probably QQ+, maybe AK sound right?

Flop KQ2 rainbow. Villain bets, I raise cuz I have AA, he 3’s, I cap thinking if he donks turn I call down. He donks turn 9 and river K, I call down.

I’m quite sure this was bad, I think it should have gone either:

1)call down from flop bet, he most likely has one of the 2 KK combos, 2 QQ combos, or one AA combo, and I have a one in 5 chance of a split. But there’s enough chance he has AK or JJ to make it worth calling down, and if he does I don’t want to raise him out.

2)Raise flop, call a 3 bet (or cap?), and fold to turn donk, I don’t have the odds to call down from there.

3)Other?