David, a couple of things.

Coyotes, live, dead, or in between, STINK. You're considering a really smelly chore, and one that your wife/family/freezer will not soon let you forget. (Trust me on this...much personal experience!)

Tanning a hide will cost a fair amount. You'll never be able to have it done for less than you can buy a tanned pelt from a dealer.

"Home brew" tanning is not cheap and provides iffy results at best.

Here's another source of pelts worth looking at: http://www.clearcreektrading.com/index.html

I was in their place this summer and the quality and prices are both excellent. They stock far more than they show on the web catalog, so call them and tell them what you're looking for and they'll do their best to help you. They're good folks.