Interesting question. A good thought experiment perhaps.
Firstly, something to consider is was he closing the action pre-flop when he called?
This really isnt something you'll encounter very often, so i'd be inclined to give it almost no significance, until I could establish how my opponent was using it in their own unique way. Obviously, that's not going to happen a lot, so there will be a many assumptions we'll have to make facing this play.
I think perhaps one thing that's likely is the villain didn't call pre-flop with the intention to 'check-blind'. What I mean is I think it's more likely that he called with a hand that was good enough for a call, but not a raise... and then in the time between that action and the flop being dealt, he decided to 'check-blind'. It just seems like a smoke screen, a distraction if you like. Without a read of course, but that's my default take on it.
Importantly, whether he checks blind or not, I don't think he'd play a hand he intends to check-fold, check-raise, donk-bet, call or fold with, significantly different to how he would play them anyway. Do you? Would you? If anything, given how you frame your body language (really!), I think he increases the chance of incorrectly second guessing himself by doing this. Better for you.
Overall, if someone needs to check in the dark, believing it gives them a valuable edge(!) then it's almost certain that there are bigger leaks in their game.
Ignore the FPS, and play solid. :)