First, I've never personally seen more than two Coyotes together at once. I'm sure they do get into bigger "Packs", but I've never witnessed it. What I have seen is some pretty amazing, and BOLD behavior from some of our local does. I live in the Town of Maine,NY, with a good population of Coyotes. On more than one occasion, I've watched a single mature doe, with fawns, run off one or two Coyotes in the field. The Coyotes would cruise the field edge, just looking, and the does would agressively pursue them. They got out of the way real quick! I think if fawns are with mature does, they should be safe.
Now throw in an injured animal and it all changes. Not to say that Coyotes don't kill their share of fawns, but they're opportunists. They're going to pursue something that's sick or injured, as opposed to getting their heads literally kicked in.
Those numbers you posted just seem a bit ridiculous. At that rate, the DEC wouldn't need to issue any DMU permits any more!