Sean, Here is a link to some video of Tennessee Walking Horses. Of course, these aren't woods broke horses, and a hunting horse wouldn't move with this much animation, but the gaits would be the same for the most part. Notice in all the videos of the running walk that the horse takes all the shock from the motion and the rider is not jostled around in any way. I would think that if you were going to try to get video of the approach to the bay while on a horse, this would be the only way to go.
M
http://www.twhbea.com/gaitsvideo.htm