Ask yourself this. By betting the flop, do we allow someone with like almost no equity or very little to put a lot of money in the pot? If no and we check, do we allow someone with like almost no equity or very little to bet? If we check and someone has a range that we completely dominate, is it reasonable to win a large pot/stack by the end of the hand?

I say no/yes/yes and check/call the flop. Slowplaying a dry flop like this can be fun. I'd rather play vs. a dominated wide range as opposed to a tight range that we still might dominate but causes much more folds.

Think of ways to allow air/weakish hands to put more money in the pot.