At some point you will have to practice fast to play fast. Will it be pretty? No. But, it will get better.
Try this. After mastering the piece at a slow tempo, isolate a single phrase or section and start speeding it up. Phase between repetitions to catch your breath and repeat.
The faster I played the D major scale, the lighter my touch became. Tension is the enemy of speed.
As Jamey Aebersold pleaded one day to his campers. "Don't practice everything slow!"
You've got to learn your instrument. Then, you practice, practice, practice. And then, when you finally get up there on the bandstand, forget all that and just wail.
I'm a professional pianist and music educator in West Toronto Ontario. I'm also a devoted student and teacher of the drums.