GB - When I had my pinned rifle I only removed the barrel one time. I always cleaned it with a product called "Turkey Tracks" which I purchased at Ft Chamber's ml shop.
All you do with this is plug the nipple with a round toothpick, pour about an ounce of it down the bore. Then with your thumb over the muzzle and tilt the rifle back and forth to wet the entire bore surface. Let it set for about 10 mins, pour out and swab.
I ususally then would run a couple dry patches then an alcohol patch, another dry patch then an oil patch. Done. No fuss no mess.