RE: What loads and bullets you like???
i use hand loaded 80 gr pointed soft point sierra bullets in 243 caliber.i use h4895 fast burning powder but keep the loads light for slightly slower volocity,this results in less pelt damage.hollow points and power points out of any rifle will do massive pelt damage,thats what there suppose to do.the partition out of the 30-06 is designed for much larger game then a coyote.its why theres not much pelt damage.there going clean thru before complete expantion.its acting almost like a full metal jacketed bullet.you didn't mention bullet weight but try a lighter bullet in the partition(as light as they make for your guns)and see what happens.