What if the players had their arms strapped to their body in three places:just below the shoulder, at the elbow and at the wrist. Thus if it hit them it would be accidental and the game would continue.The keeper would be exempt but not allowed to leave his 18 yard box for any reason. Throw ins would become kick ins with no player allowed within 10 yards of the kickee.
I would also enjoy seeing them try to get up when they fell over.