I think it's a fold on this turn. 

After being 3bet pre vs an unknown who we suspect is solid -  i think we can assign pretty good range of hands to him here  AAxx, KKxx, QQ with 2 big/suited + connected cards, 4 broadway, suited/ds run downs.

We lose to basically everything now or those hands have a tonne of equity vs our hands. I cannot see him leading with anything worse than 4 over cards + flush draw, which will often be better than ours. It looks so much like AA or KK possibly with the Ac/Kc in the hand. I feel we have such low equity on this turn card vs his range we just have to fold. 

Calling here just sets up for way to many mistakes on the river - we basically cannot call many cards safely, and we could just be calling behind so often. If we had the A or K of clubs here we can play this spot a lot differently. 

Personally im folding your hand pre as well to a 3bet - It's way to unconnected to be calling vs an unknown who we suspect is solid and will as a result probably be 3betting hands which have better connectivity and an equity edge vs this type of hand we have.

What is villian's 3bet?

Why you didn't raise flop?

As for me I would play Minraise/Fold hoping to fold villain's overpairs & get chance that he will check busted FD/SD on river if he calls.

raise flop, call turn

Well, we're deep and I have position. If villain only 3bets solid hands, then I have a whole lot of board textures to attack where my range hit way more than his.

I don't like raising the flop because it's like turning my hand into a bluff. I think I'll mostly get action from worse, guess I have to fold and not like it to a 3bet and if he calls, I have to potcontrol and maneuver so many tough spots on the turn and/or river, that I just don't like it without at least better backdoors.