If I were to think along that line for a Wooden Wand in respect to myself then I would probably consider the Astrological Associations and spiritual nature, of the wood, and my own. Each tree has its own meaning. Its fascinating! You may find the book "The Meaning of Trees" helpful in choosing the wood for your wand. It includes so much spiritual, historical, and mythological information with pictures on a multitude of trees and wood. I have purchased two of these books so far and will be getting another soon because I use it for reference so much and I gave one of mine away to another who wanted it. Its by Fred Hageneder.
The traditional woods used for wands are willow, elder, oak, apple, even peach and hazel(etc), according to another book that I refer to frequently that is Wicca Living Wicca by Scott Cunningham. Further stated in that reference is that any straight piece of wood can be used. I have had positive results using a crooked piece of drift wood that I found and happened to like. I spent allot of time in the woods looking for an Ash tree because one source recommended the Ash Wood for wands. I never found a particular Ash tree that I was comfortable enough to be sure of what it was to use. So I will probably try it out on my next camping, rock hounding road trip.