The guardian dog has not been much help on airborne predators. The Bard Owl problem only lasts a few weeks in May and those ewes who lose a lamb immediately breed back and pop out lambs in september/october. After the third coyote carcass left in the feedlot by the dog, we've never had a coyote problem since. No shots fired and no antifreeze.
My great gandfather had the same problem with raptors. He took care of the coyotes with a .270 or an Army surplus M-1. He would keep the lambs in the lambing barn as long as he could so as to reduce losses to raptors.