Since the coyote hunts are just an occasional thing, I don't see much point in worrying about using other than a good-grouping deer load. The typical 150-grain, zeroed at 200 yards.
For regular hunts, yeah, I'd work up a 110-grain load that provided tight groups. No big deal for a reloader.
You're from BATFE? Come right in! I use all your fine products!