Suggestion for Curing Cheap Shots in Hockey
Lacrosse has something called a non-releasable penalty. In a nutshell, if you hit someone in the head, you could get a one-minute non-releasable penalty. What that means is that the player stays off the entire length of the penalty, giving the other team a chance to score as many power-player goals as they can during the length of the penalty. Which means that a good team might be able to score 2 goals during that one minute.
So, translate this to the NHL, where if a player hits someone in the head (depending on the severity) you could have a two-minute or five-minute non-releasable penalty (or longer). If that were the case, a team could ramp its power play for a solid five minutes, perhaps scoring as many as three goals. Were that to happen, players would be careful about going for head shots, very careful, as they could cost their team the game.
Suspensions and fines might or might not work, depending on the severity. But putting a team in a position, game after game, to have the other team score a bunch of power play goals during a long, non-releasable penalty, just might.