PF I'd put him on decent PP + any two faces + AT. Since he called instead of reraising, I think we can eliminate QQ+ and AK. If he's tight at all, I don't get why he'd be raising suited connectors and calling a 3bet with them, unless they were broadway like QJs+. Likewise, I wouldn't expect suited aces, except maybe the suitedness would make him loosen up his standards a bit, dipping down to perhaps A7s or maybe A6s. You having a nine makes A9s unlikely, but I'd include it in his range because I think he has a chance of taking this action with A9s.

The minraise doesn't rep AJ+ to me, though. I think the highest ace here has here is AT, and even then, unless he's really passive, I think he'd make a real raise. So it's got to be A9 and lower.

He checks behind on the flop for some reason. I don't know why. I now feel more comfortable dismissing A9 from his hand because you've seen three of them.

He raises you on the turn. I fail to gain much information from this, except that he finds it unlikely you have the last ace, and he probably has a decent kicker if he does. Maybe he has A4 or A9 and made a boat, I think he would have bet with two pair instead of checking. Likely Ax or 44. He probably thinks that his kicker is good enough now that you haven't repped the ace by betting the flop. He probably thinks you decided to bluff him since he checked behind, so his weak ace must be good here.

He could also be slowplaying 44, I guess. In fact, that's pretty much how I've seen the tight players do it at 4nl, slow down until you bet so they don't scare you away.

Any hand without an ace or 44 pretty much folds to your turn bet, now fearing trips, since you 3bet him pf.

On the river, assuming he's on Ax or 44, he is absolutely not folding. If you bet, he's calling at the least and likely shipping it. Whether you bet or check, he's putting money.

On the other hand, if he doesn't have Ax or 44, I think he's folding or checking behind. I think that he'll put you on an ace if he doesn't have one. Of course, if he has Ax or 44, he's trying to get more money in the middle.

I'm not sure what action to take if he's not sure of his hand, but again, his raise on the turn tells me he's likely sure of his hand. I really have no idea what to do if he wasn't sure of his hand when he raised you. Without seeing him play much, I have no idea if he likes to try and bluff the river when checked to or what.