Greg, I live in a very rural environment in the very northeastern corner of Washington State, about half way between Spokane and the Canadian Border. We do have our share of coyotes but from my experience with them, up here, I question the size of the range that you've estimated. I have no way by which I can present any sort of a valid study to confirm my estimate of the territory they cover but it certainly appears to be from 15 to 30 square miles.
Last Fall and early winter a pack of, at least, 5 coyotes (we've observed and counted them all appearing together) lived or make their headquarters at the bottom of one of our pastures. The range from our south facing kitchen window to the far tree line (measured with my laser range finder) is 286 yards. That tree line is as near to the house as I've ever observed them. At that distance they obviously felt perfectly secure because, on several occasions, they came out of the timber, on to the pasture a few yards, then sit/lie and watch us. Some times their people-watching would last for 45 min to an hour. The only exception to this was one that I called in to about 125 yds. I fired at it (He? She?) with my 7.62. But I was so startled at the results of my calling that I nearly forgot how to fire the rifle and the shot went somewhere 'as yet undetermined'.
Thus far this Spring (05 June) they have yet to make their seasonal debut. There are probably 3 reasons for their tardiness: #1. They have plenty of fodder down in the valley, about 8oo feet below our elevation; #2. I've mounted a scope on my 7.62; #3. I've had a Spokane Gunsmith cobble up a 7mm Remington Ultra Magnum with a Nikon Monarch X.
So they may all be in Oklahoma by this time.