Recent situation from sportingbet room.

$25 full table filled mostly with tight passive set-farmers, 2 loose passive fishes and few TAGs.


I get AA UTG. Standard raise 5x, 3 callers UTG+1, MP, CO. Callers are big stacks. Blinds fold.
Pot 21xBB. Flop is 892r. I fire 18xBB flop bet, MP minraises to 36BB. Folds to me. It's "just a minimum raise" but my flop bet was quite strong. What hands minraise the flop after such a aggression?
Bet the pot, when the pot is so big and multiway? Or am I risking by getting called by better hands?

Raise or fold? Push and bust him if he has lower overpair or go broke against a set?