To make it interesting remove the 20% chance for Neutral put it to 15% and Put a Psycho King chance to 5%.
Starting Psycho King wins with NK. If NK dies he can still win with NK. This would be a very interesting change and stops NK from just Bypassing Night Immunity and killing King all the time.
Original Psycho King class card:
Psycho King - King
Day Ability 1 - Royal Finger
(Royal finger desc here)
Day Ability 2 - Decide Fate
(Decide fate desc here)
Night Ability 1 - Guards!
Send a guard to investigative someone to see if they are the NK, or guard yourself making yourself Night Immune. (infinite)
Night Ability 2 - Order Execution
(order execution desc here)