Ok, how what I go about finding out the "operating radius" of this gyro?
And what do you mean exactly when you say, "proficiency flying"?
Anybody who intends to fly an aircraft somewhere for display, or to demonstrate it in flight for an event, has to stay in practice to be safe and to keep up with recent flight experience legal requirements. Practice to maintain those skills is what I meant by "proficiency", and it's a term the FAA likes to use for such things. The FAA recognizes that practice is both necessary and awkward to schedule far in advance, and that frequent practice is good for safety, so they allow you to fly an Experimental - Exhibition aircraft whenever you wish and as much as you like to stay sharp with your skills, so long as you stay close to your home base of operations. How far from home they will let you go while practicing is the operating radius I mentioned. If you want to take a trip farther than that, you need to have it pre-listed in your annual program plan.
The radius is often determined by horsepower as a crude measure of performance and the speeds you are likely to fly. If you have a massive 27 liter 2000 horsepower Rolls Royce Merlin in your aircraft, they can give you a 600 mile radius, but for a relatively small 280 horsepower Lycoming they might conclude that 300 miles is enough for you (the dividing line often used is above or below 800 hp).
The operating limitations include that radius, and are issued specifically for a particular aircraft (although similar aircraft are likely to have similar limitations, it's the specific ones for that aircraft that control your privileges).
Although the reason for allowing that radius is for proficiency, there is no rule that says you can't keep your skills sharp and have fun at the same time, and indeed, fun can be the primary reason for the flight with maintaining proficiency as an added benefit.