Given the previous hand, villain is definitely capable of barreling weaker made hands as well as draws (most likely), so you should at least call turn and play river. You can even argue for raising flop for value, since his range includes random AJTx/AKJx hands that can't stand too much heat this deep.

Is this a live hand or online? 

Online call turn pretty happily.  Live this is probably a fold, though it's still somewhat close.

I am kind of inclined to fold.  I think you're ahead of his range on the turn, but there are so many river cards that would be difficult to make a decision on.  I wouldn't know what to do if the river brought a spade, or any of A, K, Q, J, T, 9, 8, or 3.  There are going to be much better spots to push an edge against this villain than calling three big bets with aces up and no draws.

Overbet56  As I apologized  for not displaying it as HH - it's online

OnceItRun Just because of previous hand I am not going anywhere. Flop re raise seems fine now when I am thinking about it, but too many turn cards make that move not so "optimal" + if I got re raised really don't know where am I at vs this player. In vacuum - I fold then and that move prevents me from big loss.

What about turn re raise ( I waited for turn brick) and how to deal with turn re raise if we re raise turn?

the3shells there is something in what you're saying: "wait for better spot"....

ty for responses

villain's repping a made hand on the flop or maybe straight draw and/or flush draw semi bluff around the A and Q.  

you don't say anything about how widely villain calls out of the blinds.  you could try to raise fold the turn to try to freeze villain, i think villain's range is heavily weighted toward pair+draws over made hands (e.g. two pairs, sets).

you can call turn and try to bluff / thin value bet if you think he'll be honest on the river (there are a ton of rivers that can complete many draws and villain may put you on one of them).