Late stages of the Biggger $22 last sunday (200 players remaining)

Vilain (34bb) opens 2x from UTG+3. It is folded to me in the BB with AKo and 27bb. 

Classic spot but always unsure how to play it.

 I shoved my 27bb. Unwilling to play post-flop OOP, missing the flop and facing a tough decision.

How would you play it? What is the optimal play?Thanks for your feedback!