Personally, Blue Windex with Amonia and then later Ed's Red should do you just fine. Or if you can find it at a gunshow some old Army Surplus bore cleaner.
Actually, when I first got an SKS and used ChiCom ammo before I started reloading, I just used lots and lots of Hoppe's No. 9 and never noticed any problems, even though folks told me I needed to use hot water and soap or something to cut the salts. Of course the SKS had lots of chromed parts, so it might not have been a fair test.
For my MN, when I don't shoot non-corrosive reloads I do, I use Windex at the range and run a few patches. More Windex when I get home. Then Ed's Red prior to putting it in the gun safe.