The Rifleman did an article... you take a rod in the barrel, brass welding rod works o.k. for larger bores, mil. surplus .30/ 8mm/ etc.. Cleaning rod with a brass brush you are willing to sacrifice... Not sure i would trust it with .17. You put a collar around the rod. Tight patch. Like that. Go in from chamber is easier. Then you pour lead into the muzzle to make a plug. When it is cooled, solid, you push it out front. Wouldn't hurt to WD 40 the barrel inside first... Coat with your choice of "grit." "Valve Grinding compound" for auto valves is available at auto supply stores in varying grits. Jewlelers have "jewelers rouge" a very, very fine abrasive... Bon Ami. Toothpaste. Tooth Powder... Pull back and forth until the barrel is smooth to your satisfaction or the plug is "worn" and loose. If you aren't through, smooth barrel or tired, do it again...
This was for smoothing military surplus barrels that had not been cared for welllllll... "NRA moon scape" surface... And barrels were probably "cut rifled" with tool marks ...
This was before the kits to shoot barrels with grit impregnated bullets.
POINT... Today most barrels are button rifled which much smoothes things. Rifling is "ironed" into the steel. Custom barrels are often lapped before rifling. Maybe after...
As suggested, since shooting is a lapping process, shoot it first. The target system, --shoot 1, clean for 5 shots; shoot 2 (or 3) and clean for 10 or 15 shots; shoot 5 and clean; And if the barrel is grouping... stop...
My bottom line, this is all BARREL WEAR! Each stroke uses up a part of the barrel's life. Your barrel, your call, but I would rather be sending bullets down the barrel than pulling a rod back and forth... ENJOY, happy trails...