Cody, you also want to select a bullet design that will hold up to punching through bone. My honeymoon with the varmint class bullets has pretty much ended. While the bullets I have been using, the 55 grain Sierra BlitzKings, offer wonderful performance on jackrabbits and facing coyotes, they don't do well with bone. I'm in the process of switching to the 55 grain Sierra GameKing HPBT that is of a stronger design and according to Sierra is able to handle the shoulder of a coyote and offer deeper penetration to reach vitals when facing the southern end of a north facing coyote.
While the varmint bullets have put a good number of coyotes into the dirt, they tend to not exit, which is both good and bad. On the plus side it creates minimal pelt damage. Typically a caliber sized hole going in and no exit. The downside is that they don't exit. Without an exit wound it is difficult to track a coyote that you know you got a solid hit on but it was still able to run and pile up outside of view.