I suggest a Tico Tool. Have one for use only immediately after shooting. I have one sprayed lightly with Breakfree I run into the tubes. Then, I hook on the swab saturated with rust inhibitor and pull it through the tubes. It's too easy, and will prevent any rust until you can do a more thorough cleaning.

Regards
Ken

I prefer wood to plastic, leather to nylon, waxed cotton to Gore-Tex, and split bamboo to graphite.