Hmmm, I don't think if he's deep as well that he would do this without a set. Maybe I'm a puss but when 200bbs+ I wouldn't even get 2 pair in on the flop.

I normally like to push these draws too but when deep like this maybe calling the 3 bet would be better. Your flush might not get paid if it only hits on the river, but your straight would be pretty nicely disguised and I think you would still get a nice chunk of change off him if you hit that.