Wow! Congrats on a good day and a black one to boot!
I’ve not heard of running them with beagles. Larger hounds are the preferred option around here. I had beagles for years here in NY for running rabbit and hare. I know of a couple guys from the beagle clubs I was in that lost beagles to coyotes.
I had a tiny little squall mouth bitch that on more than one occasion would get coyotes worked up outside of the 200 acre beagle clubs fence when running at night. I think her high pitched voice was the trigger. I never had a problem running her in the wild, but it was always in my head that she was no match for a coyote should the situation arise.
Anyway, congratulations on a great day out with your dogs.