You never cease to amaze me, Sir Chuck!Back when I was first getting hooked on gyros, I built and flew a U control gyro.
The rotor was carved from a spruce yardstick and control was by elevator rather than rotorhead tilt. It flew OK and could even be looped.
It wouldn’t fly on the engine I started with, which I think was 0.18³ inch; ended up with a 0.28³ inch engine. That was a long time ago and my recollection about engine size is a bit fuzzy.