If you want to try an even safer route than the 0000 steel wool, Scotch Brite does make ultra fine pads and they're available at places like StewMac. A 2500 grit pad is technically even finer than 0000 steel wool, which is closest to around 2000 grit, from what I've read.
3M Scotch-Brite Pads | stewmac.com
I worry about using any kind of abrasive on my neck, so if you want to go even safe than that, a good "sticky neck" trick I learned a long time ago is to use denim.
Yes, denim. Astonishingly enough, the fabric has some extremely mild abrasive qualities.
Just use an old pair of faded jeans or a jean jacket. I might stay away from the super blue ones, just in case the color transfers. I usually use a pair I can cut up to avoid zippers, buttons and rivets - but I always keep some denim in my rag stash.
Firmly run the length of your neck about a hundred times. If that's not enough, go a hundred more. It takes a while, but I swear that it works and it's completely safe to any finish.