Copper fouling will happen even on the smoothest of barrels and non-mags are just as prone as magnums. When really bad will screw up accuracy. I recommend Shooters Choice Copper remover to get it out. If it is a s bad as you say, I'd plug the chamber with a couple of patches. Then pour a couple of tablespoons of solvent in the barrel and plug the muzzle. Place it on its side and rotate to the other side it every 1/2 hour or so for 4-6 hrs. Pull out the plug from the muzzle and drain the solvent and then pull the plug from the chamber end and push a patch from the chamber to the muzzle. Green slime will come out. That will cut the majority of the copper. Then mop the barrel with more solvent it and let it set for 15 min and patch it again. Repeat until the patch isn't green. If it is as bad as you say, once you get it clean I'd get the barrel lapped, or get an outers foul out. It removes the copper electrically (reverse plating). Weatherby’s are finicky on the ammo they will shoot well. If you are a handloader you need to start varying the powder charge to find the velocity for the best barrel harmonics. Here is a string on another forum on how to go about it scientifically.
http://www.gunforums.com/ubbthreads/...b=5&o=&fpart=1
If not I'd start experimenting with different manufactures beginning with Weatherby ammo. (Norma).
Good Luck