Bill, a friend Steve Chernicky built the 22 RF that won all the Olympics. I was test firing the rifles which were Rem 40x with Hart barrels, McMillen stocks.
We shot all kinds of ammo from different companies. CCI Green tag was darn good, and for a poor man, the CCI std velocity was great. Eley and RWS makes some great ammo, and we killed a slug of ground squirrels with RWS HP, std. velocity.
Ammo from different Lot# can make you crazy.
We cleaned the rifles every 200-250 rounds, more if high velocity was used.
Give the bore snake to someone that you don't like, or save it for when you trip and stick the muzzle in the mud.
Steve ended up making a twist measurement system for Anschutz that gauges twist rate uniformity, and he was on a team of guys experimenting with a new Match ammo that they sold the patent to Federal, today known as Gold Metal Match.
Steve used regular bronze bristle brushes from Sinclair on those bores with good rod guides. The whole idea that you don't have to clean 22RF is what is the most popular out of pure ignorance when you have a super accurate 22.
Steve was throwing away the new 40x barrels from the factory. I fished them out of the trash can, and chambered them for 22 RF match where the throat barely engraved the bullet. At 80 yards, the bullets would go in the same hole in the underground tunnel with a 36x Leupold on Ruger 10/22's with a custom stock, and tuned trigger.
Steve went on to develop and patent the Browning Boss system, and some of the etched glass reticles that are used in some of the military scopes today.
If you want to break in your Anschutz, then get good bronze bristle brushes, give it 25 strokes with JB cleaning compound and call it good to go. If you are buying your ammo from a local store, when you find a good lot#, go back and buy all they have, and I mean all of it!