Ok - Im not sure if this is going to make sense but Ill say it anyway and probably learn something from the response:

That turn and river hit his range ALOT
KT,KJ,KQ,AK,JT,QJ,AJ
If we believe villain is capable of value betting these hands then surely we can turn our hand into a bluff profitably here because he must fold most of that stuff to a shove. we only need him to fold a little more than 50% to be profitable - I think we shoving 19 to win 16.

If we dont believe villain is value betting much of that range then all of a sudden his range is very polarised and getting 3 to 1 we surely can call profitably?