For the first 3 rounds, dracula is slow enough to not worried about dying in the middle of the fight.

Actually, Dracula is a bit too slow and it's easy to waste time waiting for him, especially when he bounce all across the screen.

I don't think there is any RNG on Dracula movement, it's all base on Mick current position. Here are 2 useful strat I've found while running

Walking Dracula

Not clear yet how the game decide to make dracula to walk (not bat form) but that's a fast way to give him some very quick hit with the knife. Here in the Round 1, this action will make him to walk very soon:

Bounce and Hit

When is he in bat form, there is a way to make do the same bounce movement, almost like playing tennis with him, it's faster than stopping the time, but slower than making walk