When I used T7 Id take the barrel off and use a bucket with boiling hot soapy water and like GM54 said use a jag and patch to make a plunger effect, followed by some clear boiled water down barrel to rinse. All this done wearing a glove on the hand holding barrel. Then dry patch and oil..

I know the problem ... take the barrel off and maybe the POI will change. This really is a big concern during hunting. Especially if you are a long distance shooter. What might be a 1/2 inch at 50 yards could be a couple inches at 200 yards.

If removing the barrel is a concern to you.. try this. If its an inline, leave a spent 209 primer in the breech plug for the time being. Then with a super wet soap and water patch, swab the bore. Keep doing that until you get a clean soap and water patch. Now swab a couple dry patches to remove as much of the water as you can. Your not done yet. Now saturate a patch with isopropyl alcohol and swab the bore. See any gray stuff on it? You might. If you do, start dry patching the bore of the rifle until the dry patches come clean. Usually it take three or four patches and they are clean and dry.

Now with the barrel still in the stock (you have not remove it) take out the breech plug and clean that real good. Now clean the threads from the breech side. And be sure to push a couple dry patches through from breech to muzzle. Here is where you find the value of a long range rod. After that oil it up and put the clean plug back in. You have not take the rifle out of the stock, but you have cleaned it. After season, clean it like normal extra good, and wipe it all down well.

If it is a Traditional rifle, plug the nipple with a tooth pick. DON'T PUSH THAT TOOTH PICK IN TOO HARD OR IT WILL BREAK OFF. And now water patch the barrel clean. Then alcohol patch and finally dry patch it. All the while it is still in the stock. Now pull the nipple. Take the tooth pick out. Clean off the nipple. Take some Q-tips and dip them in Alcohol and carefully, push that into the bolster/drum. Clean out in there. And don't loose the head of the Q-tip in there. After you have that clean, replace the nipple. You will be fine until you can break it down and do a good water bath. Oil the bore and you are set for another day, or you can leave it a week like that.