King of the Sandbox said:
Use a phoenix down on it.
Seriously. This is pretty much a one-shot kill.
In fact, there should be an RPG where you're a Healer in the middle of a zombie apocalypse. You need to heal those who are hurt, and destroy the undead.
You start off as a herbalist with a small farm to grow your healing ingredients. The beginning of the game is learning how to heal different types of wounds and diseases, and how to mix the medicine/salves/bandages required using what you have in your garden. More potent medicines require more difficult to grow ingredients.
A drastic case where a loved one falls ill to a mysterious disease has you going to the big city to find out more...
...just in time for the beginnings of a zombie apocalypse.