this is what i do with all mine.....patchworm when hot at the range after shooting. patches soaked in ballistol. works great, gets most of the fouling out, wont hurt a thing. then if i really clean it when i get home, i use a rod and a mix of hoppes/kroil, mostly in the throat. my 10/22s have a hole in the back of the receiver, so that makes things easier. but ive had bull barrel stuff that i used a muzzle bore guide with. that would be fine too if you dont want to drill the receiver. especially after using ballistol soaked patches when hot. or a DG brush. whatever works. just be sure to use a quality brush like a shooters choice or similar, that is bronze/brass. they wont hurt the barrel. when i am cleaning the throat/chamber i usually use a 6mm brush.