Can't you somehow fold that design down into a normal-height unicycle with gears?
You generally have a fixed wheel on a unicycle. That would make derailleur gears harder to implement as they'd normally work with a freehub of some kind.
Hub gears like a Sturmey-Archer generally need to zero torque going through them to change gear. Again that's hard to do when you're using the forward and backward pedalling to balance.