Stack sizes are important, I assume full stacks 100 bb".
No reads either, optimum play versus player A may be spew versus player b. That said, I will check this flop almost 100% and calling if villain makes a bet.
Why check flop? Our hand is weak and we may have to fold to a flop raise, usually on this board villains range contains lots of hands that can raise us, sets, two pair, pair draw combo"s, straight and flush draws.
We weaken our range by checking and more importantly weaken villains range to include bluffs and semi bluffs.