Hit the easy button and try ThorroClean.Barnes does not foul the barrel if you start with a clean barrel. I have a 7-08 with about 250 rounds of Barnes TTSX down the pipe and it is still a tack driver.
If I decide to use a regular bullet in it I will need to super clean it before shooting Barnes again. I also do the same thing when shooting Swift bullets but they do not seem to be effected as much. I shoot Barnes/Swift bullet in quite a number of cartridges and always clean before shooting Barnes after shooting another regular jacketed bullet.
How I super clean a barrel-- 1st Wipe-Out, 2nd follow with Sweets 7.62 or Barnes CR-10, 3rd Butches bore shine or Shooters Choice or Tetra-Gun or whatever but never #9. If I do not plan to shoot the rifle soon I do not oil the barrel.