PLEASE, PLEASE, PLEASE get educated before you create a multitude of problems for yourself and every other trapper out there.
All the methods above, footholds, snares, bodygrippers, and m44's have their place in taking coyotes for fur or adc reasons. However, not knowing your situation (other than you are looking for a magic bullet) it would be hard for anyone here to help you.
First, I would suggest getting education from reputable sources. This should start with knowing the laws in your state and about practices considered ethical in your area regarding trapping. For example, a bodygripper used in the wrong situation will have serious repercussions for you and others around you.
So, you are struggling with getting a coyote to come within rifle range. To trap a coyote you have to get them to step on an area the size of a soup can. To snare a coyote you have to get them to walk through a loop that is ten inches across.
Finally, if you don't think you can walk up and dispatch an animal, please seriously consider whether or not you are ready to attempt trapping.