I'm working on creating a brutal multi event athletic competition that also tests the military combat skills of squire candidates but I need an equestrian event that is not a joust as this fictional world's culture does not do that. The focus should be on the rider's skills not the animal's training; it really shouldn't be a case of the horse does all the work. Just to increase the difficulty they are given random horses to use rather than their own.
I could medievalize a modern sport but I only know them as a living room spectator(pretty horsies!) and have no clue how to judge what ones would work for this. Could be either solo or team event maybe both. Straight racing is out as is chariots.