That sounds like fun. If your horse is trained to chase a cow [or a Roo] with a rope swinging around I wouldn't think that the twang of a bow would be hard to get use to.
Last weekend went to the annual Coon shoot at the Coon Rapids Archery Club. What a fun time! It starts at dusk so flashlights are a must. I rigged up a book reading light with a flexible neck to light my sight pin. It was an old one that my wife had laying around. It worked as good as I hoped but was starting to get dim after a few hours. It was 29'F and about 4" of snow so my hands were starting to get cold towards the end but I hate shooting with gloves. I should have taped the metal riser to keep my hands away from the metal.
There are so many disciplines and games to keep archery fun!
Tim