Hey,
Neither do I remove the barrel for cleaning. When I was taught to shoot BP sometime in the late 16th century (actually the early 60's) I was shown a setup I use to today. I make up a two foot length of surgical hose with a 1/4"28 little nipple stuck in the end and a 1/4" SS nut screwed onto the other end to act as a weight. Remove the flash hole plug (probably requires removing the lock) and screw in the nipple. Drop the nut and hose into a pail of warm to hot soapy water, put a good and thick patch on your jag and push it all the way down. Then you withdraw the rod slowly and, like a syringe, it will suck up a barrel's worth of soapy water. Let it sit for as few seconds and then expel the water and man, you will expel the blackest, dirtiest water you have seen. Do this over and over (may require a fresh pail of water if your piece is really dirty) until the water runs clear.
Then you can abandon the hose setup and dry the barrel with clean patches followed by the ubiquitous oiled patch and you are done. I'm using my hose and nipple rig from the eighties so they last well. Not as much trouble as it may sound and works super-well.
Just my idea, your mileage may vary,
Rob - Kentucky