RE: Carrying bow on horseback.
When we were packed in by horse to a drop camp the ones that had them used a sling and the ones that didn' t just tied a small rope to bow to use as a sling, worked fine. I also believe this would be the best way to back bow in because packs animals/mounts can spook fall or what ever this way you have some control of your weapon instead of the Murphys law
Just my thoughts
David/Mo