I would just push the flop. I am a big fan of not three betting KK preflop WHEN MY OPPONENTS HAND IS OBVIOUS (AA-JJ/AK). It doesn't seem to be the case here, so I would go all in and not worry about it.

As played call the turn. There's too much money out there. I like the $100 bet SO LONG AS YOU CALL. Other wise check call all in.