Treat it just like a blued gun. I like Shooters choice to remove the copper from the bore. I used to use B-12 Chemtool in the spray can in place of gun scrubber. I never bothered with moly grease as you should for SS and never suffeed any galling. I used a variety of lubes when Iowned my SS Mini-30. I used Miltec-1,CLP,Rem Oil and home made gun oils. I never had a problem with any of them.
P.S. I always seperated my barrled action from the wood stock before cleaning and always used rubber bands and zip lock bags over the scope lens to protect them from harsh solvents! Buris told me to use 100% acetone to clean my optics.