KK - Trapping or being a donk?

$2/$4 - 10 person Table. Hero just sits down 4 hands ago, not much of an image.

Hero Stack - $400
Villain's stack - $500

Hero has KK and limps in. Button raises $20 against 4 limpers. Hero calls $20 and everyone else folds.

~$50 pot. Flop 8, 5, 2 rainbow.

Hero checks, Villain PSB of $50. Hero pushes all in and Villain calls with AA.

I was hoping that Villain was trying to steal the pot pre flop, then show strength with a missed flop or have TT-QQs or AKs. I was obviously wrong.

Question on the flop (lets ignore not re-raising pre flop):
1.) Do I lead the betting with a PSB and fold to a re-raise?
2.) If I reraise his PSB to $150 and he comes over the top putting me all in do I fold my KKs to a 3.5:1 ?
3.) Is this play profitable long term?

I don't like just calling the flop, because I have no idea where I'm at when the turn comes and am in the same situation. That's why (right or wrong) I went all in on the flop.

ps - Can someone send me the instruction link to input HHs into the converter? I checked the FAQ and a quick search, but couldn't find the instructions. Thanks