If you have no reads on Villain, i think you should go on the assumption that he wont call ur 3 bet light from this spot 100bbs deep. So there is little value in betting turn. As played i would c/f turn.
I actually think the opposite of this is true. Because this is rush poker and it's a small player pool all playing loads of hands with each other, the entire ecosystem changes when one person is very aggressive pre flop, because that person forces everybody else to play at their speed and out of their comfort zone. This creates a sort of ripple reaction which affects everybody not just the person that I'm 3betting. People no longer have the option to play hands like they are used to because other people are doing things that they don't usually do to combat my strat so they are now in lots of different situations that they don't have a lot of experience dealing with (which is why I love this strategy so much). This results in people making wider peels when they are in position, 4betting more when they are out of position (and when it's late position action) and just generally loosening up.
Because of this I think check/fold is not a viable option WITHOUT reads. if I knew that the guy is a tight player then you are totally right and we can consider check/folding because he'll probably check back all of the hands that we beat (AJ/AQ, KT-JT, XXcc and a couple of other random hands) and only bet with the made hands that have us crushed. I did explain in the OP the fact that I thought he would 4bet QQ/KK/AK and JJ a % of the time pre flop, so I feel like you haven't really put much thought into your post saying that he has "a tight range on the flop" because surely if you think that he is only peeling strong hands pre then he can't have a straight or QJ/KJ for two pair. Which only leaves KQ (and JJ a %) as a hand we're losing to (and ATss, I don't know whether you consider that a strong hand or not).
Also, just for future reference, if I thought the guy was a nit and was peeling a tight range I would have included that in the OP.
It is really difficult to describe the dynamic in these games without recording a video to show how the ecosystem has reacted to my very 3betty style, but what I've discovered from my first 50k hands is that people peel a lot in position since I 3bet such a high % and they get a frustrated by this which in turn makes them a little more stubborn.
At this stage in my dynamic with "cretiiino" I've been 3betting him a lot and he's clearly aware of this as evidence by his btn 4bet earlier and I think it's very safe to assume he is going to peel quite a lot of the royal connectors and AJ/AQ kind of hands.
But like I said, it's difficult to describe since I'm the only person who sees it. It's pretty remarkable what a player pool of 50-80 people does when you 3bet them relentlessly.