Were it mine, I would first check the headspace with a set of real 6mm BR guages. If it is in spec, then hand turn a 6mm BR Norma reamer (With a snug fitting pilot) with the barreled action held vertically in a padded vise. When you felt the shoulder touch, stop. This will lengthen the neck and cut a new throat without changing the headspace. If the body needs polishing you can use sandpaper on a split dowel run by a drill motor. This should work, and the weight of the reamer with extension and T handle will be sufficient to drive it forward. Just do not turn the reamer backward or you will scratch the chamber. If you have a bore scope all the better, so you can keep an eye on your progress.