I don't know about 3000fps but my fav load for coyotes is the Sierra 110 HP Varminter bullet with Reloader 7. I know others use the same bullet with 748 and/or BL(C)-3. This bullet really explodes in a coyote. I load it to 2.6 inches OAL (this is the Max length that will cycle in my 336).
I also never load up the mag tube. 1 in the chamber and 1 in the tube is plenty. You don't get a lot of follow up shots at coyotes around my place.