If you are so deadset against coyotes having an impact on your deer herd, run your own experiment. Do camera surveys this year heavily and set a baseline for fawn recruitment on your property. During the offseason remove as many coyotes as you can and then do the same camera survey and see if fawn recruitment changes. I am betting a pretty penny that your fawn recruitment will tremendously improve just by removing x amount of coyotes. Don't take our word for it though, try it.