I used to live in Tucson, AZ and went to college in Flagstaff. The Mogollon rim runs from Flagstaff area all the way over to White Mountains. Never hunted the White Mtn Apache reservation. But, I would go over and fish in the summer. LOTS of BIG bull elk up there when I lived there. But, reservation tags are very expensive.
Beautiful country! You will have a great time!
ET