Im Check/Shoving Turn

Agree with Below.
3-betting is a very bad option, on the flop. There's virtually nothing he reps on the flop. AT just flats, even JJ probably will, the board is so dry that he'd probably flat sets as well, and he has no two-pair combos.
So your call is good.

Check-shoving is best. Although the board favours Villian, he still should never have two pair here, so you're up against fast played sets, and overvalued AT/JJ, and bluffs.

First off, in order to get better responses in these type of spots, you should:

1) Write something about your stats, percieved image, bet sizing i.e-(Do you have different bet size against fish and regs, on dry and draw heavy flops, with draws or made hands).

2) Post his post flop stats i.e- flop X/r%, turn/river Af% and barreling tendencies.

3) Prior dynamic with villain.

All these things are of huge importance when trying to make a correct decision, and it takes you less then a couple of minutes to post them(if you have any).Also i`d like to warn you against mechanical thinking considering the :

"I don't think a reg at NL10 would play a set like this", statement.

True a lot of regs are more prone to flat a set ip knowing that they`ll get 3 streets of value(esp on a dry flop like this).But if he percieves you as a nit, and knows that you`re never bluffing these boards/but will stack off/call off if raised, then he has an easy decision of raising you and setting up stacks.

If you don`t have any even semi solid stats or reads on all of the above, you should treat his postflop play like vs unknown.Just bc someone is a reg and is playing aggro pre, doesn`t mean he`s gonna spew postflop.But honestly there has to be some better reads hidden in that 400h sample which should help us make a better decision.

Anyway, looking at this hand in a vacuum and considering pre flop action, his range here is mostly weighted towards sets/bluffs.The hands he bluff raises are mostly gonna be naked Gs,Gs+BdFd or just Bd`s. If he is continuing bluffing ott, we can somewhat safely assume, that he has picked up more equity, considering it`s more likely he now checks back naked Gs`s and Fd`s, and only barrels combos.As played i agree with ^^ that x/showing turn here would be best.

Just bet the turn again, there's plenty of worse hands than can make up a reason to call you again, his Txs, maybe some 77 88 99, and his JJ QQ that flats pf.