This is not legal advice.....
Under legal advice to me, I put my full legal name in front of the registered business name on my Class III license, EIN and SunBiz, so officially CD Constrictors, LLC is:
Corey DeLong's CD Constrictors, LLC
Same with my lawn business.... Royal Cuts Lawn Service, LLC is:
Corey DeLong's Royal Cuts Lawn Service, LLC
You could easily do something similar on your registered business name and use GnC as a trade name, or maybe G'n'C.
In Florida when you register your business name on SunBiz they do a search to see if the business name is already taken. It is highly unlikely that someone would have the same business name with your full legal name in front of it.....
It does get sticky though. Remember years ago when the WWF (World Wrestling Federation) was forced to change their name because the World Wildlife Fund (also WWF) took them to litigation? OTOH, if I "coined" myself as CDC (Corey DeLong's Constrictors, LLC), I don't think the Centers for Disease Control and Prevention would come trolling after me.... lol!!
Just some thoughts.