Hardin, I've hunted deer and elk in Unit 9 and I saw coyotes in just about every outing that I can recall. Although I didn't specifically hunt coyotes, I'm sure both Units 9 and 7 would serve you well. I've done a little coyote calling in Unit 7E, with decent results. Get nearer the Navajo Reservation boundary for best results.
The only downside is the heavy population of Flagstaff and the probable hunting pressure from varmint hunters who live there. I'd give it a crack this coming September - if'n I were you.
If you want to properly preserve velvet antlers, you will have to inject & brush them with formaldehyde or some of the new less toxic chemicals (4 in 1 solution works great as does Knobloch's antler in velvet tan) as its easier to use however, both will work.
First, using rubber gloves take a razor blade and make small incisions at the tips of all points about 1/8". Next hang the antlers upside down, allowing the blood to drain. Starting at the bases inject the solution into the...