Remove the ability for a neutral king and add the Mad king. This will decrease the amount of times NK goes for King. The chance of the Mad King to spawn would be much lower than Evil and Good King, but not to the point of non-existence. Maybe 1/12 chance or something lower.
Rolecard (If starting as the Mad King)
Day Ability 1:
Decide Fate - Decide the accused player’s fate. (1 use)
Day Ability 2:
Royal Finger - Your next vote for treason will count twice. (unlimited uses)
Night Ability 1:
Allies! - Discover a player’s exact class. (4 uses)
Night Ability 2:
Guards! - Send guards to a player making them Death Immune for the night. (4 uses)
You turn into a Paycho King if the NK dies and if you win the NK also win
Goal: Ensure an (just in case future updates add more than 1 NK) NK wins at all costs. You do not need to survive.