This topic has been covered in these topics:
Neck Break.
Knife Kill.
Martial Arts, The Undead and You.
How important is stealth.
Useful skill for evasive capability in urban areas.
Snipers.
What's so great about a machete?
Martial Arts Against Zombies?
Silencers only.
Your choice of martial art.
Stalking and Evasion.
A question that has been bothering me lately.
I once again come to you with a question, a tent?.

I think you might find the answer you are seeking in one of these threads. However, keep in mind the enemy in question is theoretical and therefore we will not know anything about what works and does not unless a real zombie were to be encountered and "dealt with" in such a manner as you described. Thanks.

"They drew first blood not me..." (Stallone in Rambo: First Blood)