the .22 hole is not going to affect pelt value. However, the blood from a shot coyote can be extensive and messy, and I find it's just easier to dispatch without shooting.
I started using the following method when I trapped on a military base that did not allow me to carry a firearm.
1. smack them over the nose with a tile spade, doesn't have to be too hard, just stuns them for about 10 seconds
2. while stunned, hit them hard right down the forehead with my all-steel remake trowel. Will knock them out long enough to do a chest compression (I once had one stone dead after this step).
3. chest compression. Push down firmly on the chest over the heart, behind the elbow with your boot and pull up with the back legs. No stomping, just use your body weight to push down. You can feel the heart beat with your boot and feel it stop. Then hold another moment to be sure.
