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.
Here is an inexpenive and effective deer feeder I made recently.
No batteries to go dead, no hoisting it up in the tree, plenty of capacity, very easy to fill - so far, I love it.
I have made two of these and they are easy to build.
An empty 55 gallon drum, some 2x4's, some PVC tubing and fittings, a little bit of hardware and some paint - and you are ready to go.
I designed it so you can stand on the lower rung and fill it - the top is about 6.5 feet above the ground.
It holds about 375...