No, wait, wait! I've got it! A cross between polo and jousting! Percherons instead of polo ponies, full body armor, a lance in the left hand and a polo mallet in the other, maces and battle-axes at the ready in waist belts for hand-to-hand if unhorsed!

No, wait, wait again! Even better! A cross between polo and skeet! Each player has a mallet and a 12 gauge shotgun. If a team is on defense they can just blast hell out of the ball. Shooting a grounded ball merely results in a change of possession, but shooting a rolling or flying ball scores one point.