RE: Does this exist?
My dad has one only we used springs instead of a weight. More of a dampener than a counter balance. It was a glorious pain in the back side! lol. I never could fly with the darn thing. It wasn't till I cracked down on the sim and just accepted that I would crash at some point so I stop worrying about it and just focused on small advances in my skills. That is what seemed to work the best.
Happy flying!