Taccom made a toothed jig for this. Not sure how well it works. My buddy also
uses a 12 gauge brass brush/rod chucked to a drill that he says works well. I think you have to do it every time your done shooting with a shrouded barrel or your lost.
Even with anti spatter and soaking overnight in Kroil or Solvent, most of us are chipping it off with metal pics, punches, etc.
JP makes an ultralight shrouded barrel with a door to the crown that works well, but it’s pricey. I gave up on the shrouded barrel, in RFRO I use the Briley and for PCC 14.5 pinned JP. The 10’ Brekke with the 6” comp/cage is a nice solution too. Light, easy to clean and well priced. He’s a great guy too.