As much as I love killing coyotes, stomping on their chest just doesn't seem appealing to me, nor does what I suspect the sound they make when you do it.

.22 LR right through the chest for me. You get some blood, but I wash them anyhow to de flea them and get al the dirt and grime out of the fur.

I have had a few instances where I forgot ammo or for whatever reason I couldn't shoot them and came up with creative ways to make them die, including choking by hand and heaving rocks, which I'm honestly not too proud of.

These days I prefer snares anyhow. The occasional foot catch happens, so I still carry a .22 rifle with me. I am not a serious trapper though. Just a dabbler.