If the outside of the ring is intact, I will touch it up by hand with Liquitex acrylics. If not, I use a variation of this method:
https://picasaweb.google.com/118003252068396696045/PopACircle
Usually, now I find the center of the circle by putting down a small piece of tape and striking 4 arcs from the edge of the circle. This will locate the center. Then I put down friscut and cut the circle using the center that I just found. I also bought a few nice compasses on flea bay.
I have yet to find a paint marker that doesn't bleed under a cc, especially a 2 part auto clear.