Tim,
Howdy. Sorry to read about your problem. Like another poster, I have to wonder if those are really coyotes or possibly a pack of dogs gone wild with perhaps some coyote strain mixed in. We have lots of coyotes and actually I enjoy hearing their call to the hunt around sundown every day and their excited barking on the trail. I've never lost an animal to a coyote in over 30 years of cattle ranching.
The fact they attacked during the day is also an indicator to me that a wild dog influence is possible in your case. On my place, I've never seen a coyote hunt during the day....always the hunt begins at dusk.
Wild dogs are very common in my area as is a mixed breed dog/coyote looking animal. People just dump their dogs and cats out in the country when they no longer want them. Out of sight, out of mind, I suppose. It causes significant problems to the existing wildlife, local people, and the dumped animals themselves....but I digress.
Again, I'm sorry to read about your problem and hope you can find a solution. Good luck!