Hi! quick suggestion:
If there is 33% to get a Good King, 33% to get a Neutral king, and 33% to get an evil king…
What if you add a 1% to get a Psycho king at the start of the game?
Of course if there is Psycho king, there would be no other Neutral Killer.
Also this idea can be good since King can claim kills now.
Hope you like it.
Good night!