Discs are porous. Over time marker soaks in and will not come off by any method I know except fading from age. The marker on the surface can be taken off by solvents like acetone or Goof-Off. Some players believe the solvents are very dangerous so use gloves, ventilate the room, send the kids away for the weekend, read the instructions, etc..
I'm not sure I understand the danger of your # floating all over the place.
use some finger nail polish remover to lighten it up, then scribble sharpie over it. Of course this will bring you less money from a buyer or trader, but the only other option is to keep it for yourself. Just think, you could sell it, someone loose it and someone find it, call you and get your disc back to sell again. Thats a stimulus plan right there!
Just add a note at the bottom that reads, don't call after 8pm. LOL!
Any used disc is going to bring considerably less money anyway, reguardless of ink on it or not. I had a guy call me that found one of my discs in Arizona. I have never been there playing DG, is the funny thing. It's kind of cool to know it traveled there somehow. I never found it after I threw it for the last time, maybe I set a new distance record and didn't know it. Just scribble it out.
Hey Cory I feel you pain on the 2am phone calls. I have used acetone to remove phone numbers on disc that I have bought from other people and from disc that I have sold to other people but it only works if the ink is on the surface of the plastic and not soaked in. One caution is that when you use the acetone done use to much and be careful around the hot stamp as it will take the stamp completely off. The second method that I know of is a lot more harsh but will remove ink that has soaked into the disc, but it will take a bit of skill. Spray bug spray on a rage, and polish off the name, the higher the deet content the better. Be very careful with this method because the deet reacts with the disc and can actually melt the disc, but it will take off any mark on the disc no matter how deep in the plastic it is. You may have to do this several times and make sure that you rinse the disc with soap and water after words or it will make your disc look cloudy.