Would like some opinions on this situation

Firstly, thanks to those who have helped in other threads.

Ok so heres the situation, full ring game, few hands in i get AKd on the botton, great, one guy bets in early/mid position, 3 times the blind, i decide against a raise, and underep my hand with a smooth call. I have played him a couple times before and i feel like it's a good spot for a trap. This brings the big blind in also. See a flop, comes up Ac,6d,10d, goes without saying, a great flop, top pair, top kicker, flush draw, even a royal flush is possible. I dont know anything about the player on the big blind. I decide that if i check im probably only going to get a turn bet from the player to my right. I decide to bet, but just under 2/3 of the pot, i feel this could look like a scared, weak bet and the aggressive player might actually float. That doesnt happen, as he folds, but the big blind calls. At this point i really dont know what im up against, i figure it could be a couple things, firstly, they have a weaker diamond draw, as i have made it cheap enough. Secondly, im behind to trip 10's or 6's. Thirdly they have a weaker ace, maybe A-Q. The last hand im thinking of is A-10, so again id be drawing. Turn comes a blank, i again get a check, that makes sense with all the hands i have in my head. I decide to continue betting, even if im behind, if i hit my draw i could get paid big. I bet just over 2/3 of the pot. I get smooth called again, now im leaning towards a trap, i put them on trip 10's. The river is another blank, so i miss my diamond draw, however i get another check. Im confused by this, i dont feel like they would have called the turn bet with the diamond draw, so im feeling like it's one of 4 hands, they are traping with 10,10 / 6,6 / A,10 or they have A-Q. I decide to check it back, they have A-8 and i take it down.

Am i right to check the river?

I really think 3-betting pre-flop would have been better. You'd most likely get both blinds to fold (and therefore not find yourself in this kind of situation in the first place), and be HU in position with a very strong hand.

But as played, villain's line doesn't seem consistent with a set of 6s or 10s to me. I think he would have check-raised you with either of those on the flop given how draw-heavy it was, and given that there was one more person to act behind him. Ax, a lesser pair, or some kind of weaker flush draw (depending on how bad of a player he is) seem more likely.

Overall, his actions strike me more as those of someone with a marginal holding, rather than someone with a super strong hand trying to set a trap. I lean towards putting out a small value bet on the river, but since we have no info on the villain and on how he plays, I don't really mind checking behind and prevent getting bluff-raised.

(I'm a beginner at this. Feel free to challenge my thoughts.)

What stakes is this at?

You only have TPTK, if you feel a possible trap, I think checking the river is fine. If you value bet the river and he check/raises, then what?

He actually had what you would expect though, the way he played, a weak ace.

Your flat pre is fine.

Your bet on the flop is fine too.

Your bet on turn is perfect.

You should probably be betting 1/2 pot on river for value and fold to a raise. If villan flat calls you with 2 pr and wins... NH

[ ] flat pre is fine.

As played i still vbet river because he can have a ton of weaker A's