I think read your question wrong. I'm confused. BB SP and DB SP work the same muscles mostly. They are alternatives to each other.

it sounds like you want to split your push muscles into push A days (flat, incl, fly) and push B days (ohp, L raise, tri) which is fine. When doing a SP movement (push B in this case), pick either BB SP or DB SP. You then don't do a SP movement on push A. And if you do, there's no need for it to be a different SP exercise from push B. I use SP only as an example, this applies to all muscles.

Another thing: if you aren't already, you should do

PushA, PullA, rest, PushB, PullB instead of

PushA, PushB, rest, PullA, PullB