First find out if full metal jackets are legal in your area. If they are you can use them. They're cheap army surplus and will leave a .30 hole on both sides of the coyote. The 55gr acceleraters should "blow-up" if they are indeed a varmint bullet and leave no exit hole, but if you get a long shot it may make it out. Your SP and corelokts are going to be the ones that ruin the hides at close ranges.

I'd personally go with the accelerators or FMJ if I felt they were safe and legal.