I can't speak to your MU specifically, but BB only has a few tricks and a ton of front loaded damage (that normalizes as the combo continues on).
From range, he only really has Giant Step and his armored moves. Get ready to chicken block Giant Step (you can do it on reaction) and pause a little bit after dashing/jumping forward. If he A-Trains or Brass, you can punish (watch for a super cancel). But from range, your goal is to move in to a confirm range and put the hurt on. Just do it slowly.
Up close, you need to punish him for pushing buttons (because there's a better than average chance that he's mashing SSJ or a light). I like to "drop" a combo into block to see what he's mashing. If it is a super, put the hurt on. If it is a light, step up your throw or fast reset game. I don't generally feel too pressured by him up close.
From range, he only really has Giant Step and his armored moves. Get ready to chicken block Giant Step (you can do it on reaction) and pause a little bit after dashing/jumping forward. If he A-Trains or Brass, you can punish (watch for a super cancel). But from range, your goal is to move in to a confirm range and put the hurt on. Just do it slowly.
Up close, you need to punish him for pushing buttons (because there's a better than average chance that he's mashing SSJ or a light). I like to "drop" a combo into block to see what he's mashing. If it is a super, put the hurt on. If it is a light, step up your throw or fast reset game. I don't generally feel too pressured by him up close.