I restore bevels with circular strokes, too. I usually use a 600 to 1200 grit diamond hone for that and then move up once the bevel has been established. No sense to me in polishing your way to a new bevel with a finer stone unless you've got lots and lots of time on your hands with nothing better to do. I'd only caution that you don't want to put too much pressure on the blade no matter how fast you want to reset the bevel because flexing the blade makes for some sloppy honing and can yield some unexpected and unpleasant results. Also check to be sure both sides of the bevel are even when you're done. Then you're ready to put a shaving edge on it again.