We had this problem really bad with some older crepe myrtles in our backyard. The black crap was all over the trees and falling onto bushes and plants below them. Little white scale bugs everywhere.
Tried everything and nothing worked, until...
Tree drencher imidacloprid
Go get it. Use it. It works almost immediately. Within 24-48 hours you will see the scale bug starting to die away and fall off.
You only have to use it once per year, but to be honest I only used it one time, period.
They have never come back.
Trust me on this. Save yourself a bunch of time and hassle. It works.