Todd,
I remember we talked about this before. A few days ago I rode some at night with just a head mounted light. It works fine to see the pedals for free mounting and I could ride but had more UPD’s on the bumpy surface I was riding on. Based on past threads on this site and even bicycle light recommendations there does seem to be a consensus that the main headlight should be mounted on the frame. This is especially true for a bumpy surface. A main light on the frame and a head mounted light seems to be the best combination.
For road riding in Washington state, of course unicycles are not covered but bicycles are. For night bicycle riding, a white front light (not a reflector) visible for 500 feet and a red rear reflector are required. A red rear light may be used in addition to the required reflector (RCW 46.61.780). I suppose that would be reasonable for a uni also.
Jim