Perfect spot for him to squeeze.
Postflop position - check
Fairly aggressive opponent - check

His cards pretty much dont matter here to him. He knows that if you dont have AA or KK, you shut down. With 40 hands, you cant determine a small enough range to get a good answer on what to do but I would give him credit for being a decent player.

Would anybody suggest hero 4bet light here? Very unconventional but just an idea

4bet to $9.99

Ex 1 Villian shoves = we can narrow range down considerably AA,KK, AK, QQ, JJ likely we are dominated or flip at best.
Ex 2 Villian flats = we can narrow range down considerably KK(maybe) QQ,JJ,TT,AK,AQ if he is tilting. We have decent equity against this range. Also, with a cooperative flop, we can possibly get QQ AK AQ JJ TT or even KK (Ace on flop) to fold.

Again, this is very unconventional but we can narrow down his range by light 4 betting while representing a much stronger hand than we have and if he flats, maybe take it down with the lesser hand on the flop.
What do you think?