HOT DIGGITY!! A question for ME!
Everybody get away!! AWAY!! 
j/k
Anyway, I would tend to shy away from Ash or Oak (as a wood for a cane) as they are both very "open grain" woods, and might not be strong enough...Hickory would be pretty good, although my experience with it is limited...
May I suggest Maple... it's a very dense, very heavy wood (rock maple is aptly named! Your saw blade will NOT thank you!

) I would definitely trust Maple, and if you can get your hands on a good piece of "Tiger" Maple, OOH LA LA!!
There's a guy in Harrison, Tennessee, who makes walking sticks (about 2,000 over the last 20 years) name of Bige Newman. He's made 'em out of Snakewood (the cane maker's wood of choice) Ebony, Pink Ivory, and others. Sometimes he'll bandsaw several woods into 1/16" thicknesses then laminate them up into a turning blank, then spin it on the lathe. Very strong and beautiful!
Hope this helps.