First of all you should defenetly bet on flop into your oponent here about 160 if you desided to 3bet him with A10s wich is borderline card to 3bet in my opinion especialy when you have chip lead and you play comfortly in match. So you can 3bet base on your oponents reeds in that case. But you did so anyways. If he raise u on flop you can fold.   Ok now to your line so you check the flop and he check behind u wich tells me he is not have K almost never so the turn is a blank for all the draws and he bets. I put him on a small pair or nine or spaid draw or bluff. I dont think he has a hartflush draw cause he would bet the flop 100%. A bluff is posible since you check the flop and turn and he saw that. So with his bet gives you 30% potodds and u have nutflushdraw and If u hi an A you most likely going to be good. So u have 9 plus 3 is 12 outs wich is 25% to draw to most likely best hand. So if we can say he is bluffing 20% of the time.  We can do the math:        0,80*0,25+0,20=0,4=40% so we have more than potods give us so we have right to call. But how about if we shove allin on his turn bet that gives us a litle of his fold equity he maybe fold even some week 9x.So what line is right here. I say: If you file you have 70% edge on this player during the game I say you fold on turn, simply you still have enough chips to outplay him latter.If you file he has 70% edge on the game then shove Allin on his turn bet.If you file that you same good players then you can just call turn bet and evaluete the river.If you have any other reed that you know and mide help you play based on that.Remember this is near a coin flip situation so you should awoid this tipe of situations in a long run cause they are not profitabile.Sorry for my english Im from Slovenia lol.

@OP, I don't think we should expect him to have any weak pairs here given his bet size, it's likely a draw himself or some strong hand that he's planning to bet/call. Given that I think jamming is out of the question and we should probably call since we're ahead of his draws and it's difficult for him to have a big hand once he checks the flop. I'd tend to cbet the flop but if you think he's going to let you show down the best hand often then it's not that big of a deal. @Urban, I think it's pretty bad to try and determine what to do in the hand based on what you think your edge is in the remainder of the match. If you turn a spot where you normally fold into a spot where you make money, you're improving your overall edge in the match. If your edge is 70% when you fold here, it's higher than 70% when you make an improvement on folding.