In a strange related situation, in a previous job I broke my right wrist. I didn't have insurance at the time, so I just wrapped it up, sucked it up and carried on. Since then I can pop my wrist oddly, and it hurts before it's time to pop.
Sometimes during very intense games, I'll feel a sharp pain jolt down that wrist when I hit the flipper. I don't do anything differently than normal flipping, but it'll just be terrible. At that point I try to cradle the ball and somehow get it right again, or just work thru the pain. The pain dies down quickly enough most times that it doesn't make me lose the ball. Nearly every time I can just pop that wrist after the ball is lost and everything is ok again.
Medically, this is probably not the best thing to do, but it works in a pinch and is inexpensive for me. I can't recommend breaking your limbs to help with your pinball elbow issues though.