Why wouldn't mecanum be a reasonable choice for this game? Maneuverability would seem to be a benefit as well as the direct drive. The court is a flat surface with vertical obstacles. We have tested a 6 inch set of wheels on many surfaces including asphalt roads, light gravel, wood, tile, rug, compact dirt and more. The wheels handled it all, they were very durable. The side load from pushing seems acceptable, front and rear a bit less. With some good programming and driving, this should be a good system. It might even roll straight up the tower.