I'm using
a patch with a bit of Iosso bore cleaner followed by 1-2 dry patches, a patch with Hoppe's #9, a dry patch and a patch with Kroil. I use Hoppe's #9 and a dry patch on the tuner. Once in a while (maybe 2x a season) I'll run a bronze brush through the barrel a time or two before cleaning. So far, it seems to work well and the rifle still shoots better than I can.