sorta deep

Villain and I have both been deep stacked most of the game. He is a 8 tabling nit reg that runs 18/12/3. In the previous hand he 3 bet my button raise. I called, and called a small bet on a dry board. I lead a turn that gave me TPTK and then shoved a blank river when checked to me knowing he would fold some over pairs that have me beat. He folded.

Very next hand I get kk on the bb. Effective stacks are now $31.05
He rasies from MP to 0.85
I reraise to 3.4
He reraises to 10.30

Now my options are smooth call and get it all in on any safe flop or push. Which is the most advantageous to me?

Now my results orientated part. HOW THE FUCK HAVE MY KINGS RAN INTO ACES 3 TIMES IN THE LAST 1K HANDS?!?!? WTF