[psyduck]

This type of villain will auto-3-bet AJ+ preflop, so it's kinda to see him stacking off on this flop with anything else that you'd like him to stack off with.

That being said, what kind of villain is this guy? Does he fire a lot of 2nd barrels or is he the kind of guy that will raise pf flop bet or float flops, bet turn kind of guy? If he's the former and will bet a lot of the hands he raises flop with, then I like check-shoving like 80% of turns. If he checks behind on a lot of turns after raising flop or c-betting flop, then the only way to play this hand is probably to just 4-bet and hope he gets it in with his combo draw or a pair+flush draw (probably not just a bare flush draw).