If it's the weight of the headset you're worried about, try hanging a rope from the ceiling with the headset at the end, at the exact height of where you'll be using it. Think of the tennis ball hanging in many people's garages. The weight of the headset will be handled by the rope and you can just rotate naturally.

Doesn't solve up and down motion, though.

If it is an issue I'll consider that, although that's another cord limiting range of motion. There's a good chance I'll be able to handle it for short periods of time (less than an hour) without too many problems. I'm more worried about down the line when my neck is likely to get worse.