First things first: HURTING RANDOMLY IS BAD HOLY HELL LET'S NOT DO THAT.
I'm trying to figure out if the vote-to-hurt method is a good idea, though. We know that everyone can hurt in secret, but that makes me wonder what the scum's bonus powers are in this game. It could be as simple as more hp and damage, but I rather doubt it.
Also, if we assume everyone has ~11 HP, as the sample role PM does, then it will take at least 48 hours to lynch anyone at the beginning of the game. If we lynch incorrectly, assuming scum is using their Rage effectively, Town players will be missing much more health than scum players.
If we can do that, we're actually able to kill someone in a day, if I'm understanding cooldowns correctly.
Sorry for stream-of-consciousness there.