I’m planning on using a variant rule for character’s stabilizing.
The DC roll to stabilize will still be the same.
DC = 10 + |damage below zero|
However, the character’s bonus to his stabilizing roll will include his constitution bonus + his wisdom bonus (representing his will to live) + 1/2 his character level (minimum of 1).
Stabilizing Roll = D20 + Con bonus + Will bonus + 1/2 Character Level