22 rimfire brushes are smaller in O.D. than 22 centerfire brushes. Stay away from stainless steel brushes. Hoppes sells a lead remover cloth that works great. You should be able to find it at Wal-Mart or gun shops.
This stuff works great. Just about all I shoot is cast lead bullets in my handguns and its what I use when I get leading. 1 pack will last you forever.
Just trim a small piece off and pass it through your bore like a patch.
Cost is about $4.00. The price in the link below is high.
http://www.productwizard.com/hoppes-pl1215.html
Art
I think I may have the wrong .22 adapter then. I have a good bit out, but I'm so damn tired of cleaning. I'll try Academy or Dick's tomorrow. I may also try the H2O2 and vinegar too.