KK Deep- Villain's fold button appears to be broken

[criminaldave]

My thinking:

I felt villain was most likely to lead out with a set/made straight. He check raised me big so he has some sort of hand. With our history and his probable read on me I felt he was most likely making his raise that large with a big draw, so I shoved. He instacalled with J9 spades.

I need to work on my deepstack game, cos this hand had me really unsure what the hell to do. Would it ever be worth checking the flop against this sort of player or is that too weak?