I know this might not be the point of your original post, but how often do you limp-reraise? Unless you do this with hands other than AA/KK, it seems like a bad idea to basically reveal your have with stacks that deep, even with AA. Limp-reraising seems like a better idea when you can get at least 20% of your stack in preflop.

To answer the OP, i think you either should push on flop, or call and push turn(don't check-raise). From the read you had, I think i'd be willing to put it all-in. Although a free card probably can't hurt you, i wouldn't give him the chance to take one. Even if you push makes him fold a better hand, I can't see him putting in much more money with a hand you beat after you call the flop bet, even if he's aggressive.