Learn the speed of your attacks and sidestepping is your friend ! Them being all in your face doesn't make them any faster then you (unless there character is XD) ! Knowing the match up is KEY when facing an overly aggressive opponents
Every character in DOA5 has a way of dealing with faster opponents, if not, characters like Bass would be bottom-tier. As an FYI, he's far from it lol.
Since you play bayman, at the beginning of rounds try parrying or holding right if the bat! That'll make them think twice before mashing at the start of the round and force them to play a little bit more respectfully