Trapperjake,
Coyotes are pretty tough animals. If you're really
considering going after them you need to choose a
a better weapon. If you have one in a trap, the
minimum I'd be comfortable with just to dispatch
from point blank range would be a .22, maby one of
the 17 rimfires. Out gunning for them at pretty close
range a .22 mag rifle would be astarting point.
Past100 yards one of the centerfire .22 rounds.
There are people who have accounts of killing all sorts
of critters with smaller than usual guns. Don't use it as
a guideline. Always use enough gun for a clean kill.

God bless & good hunting
PK