For my third design, I decided that the best way to eliminate the ball taking a long time to settle would be to use steel balls and electromagnets :)
Here is the 3d printed hand:
Here is a video of me testing it out:
The throws were kind of erratic. I was having some issues where it seemed that the electromagnet was holding some of it's charge after removing power and messing up the throw. I eventually scrapped this idea, although I think it may be worth re-investigating again at some point.