Sry guys, forgot to post back on this thread. Anyway, answering some of the questions:
1) We didn't have Kh in our hand
2) This was the 1st 3-bet PF ever from Villain. I don't think this means that he has AA, I think it only means that he is starting to play back at me for once (table is actually quite passive, most hands are limped pots and only 2-3 guys - including myself - are constantly raising PF).
3) I've seen him play a couple of bluffs before, but definitely not with these stack sizes. And usually his bluffs went by betting every street with air rather than 3-betting and 4-betting. I think in this specific spot V is rarely bluffing.
After reading the posts here and carefully thinking about this hand I don't think that I'm beating anything after his turn raise, so as played I think I should have folded to his raise. And perhaps the best line is c/f OTT, he is not the kind of villain that plays draws aggressively.
Results below