I'll start by commenting on your last comment. about the gun not having jacketed bullets fired through it. Jacketed bullets don't hurt barrels unless it has fired thousands of them, and then, most of the wear is from powder gas erosion in the throat. A little of that is good for most rifles, and if the jacketed fouling isn't removed, that can diminish cast performance, but don't ever shy away from shooting cast in a barrel used with a lot of jacketed. Regarding the jacketed fouling issue. The LBT push through slugs will tell you if there is measurable buildup of jacket fouling, which is the reason jacketed accuracy falls off after many rounds. The push through slugs will tell you exactly how much fouling is in the bore and where. Get the fouling out till it can't be measured and jacketed accuracy will return. At that point it will also shoot cast well.
Because of the distence between us, and prohibitive postage, try annealing your slug just minutes before slugging. Best way to reduce the diameter is hammer it down, while rolling, making sure you don't get any big flat spots which are under size. Then warm the hammered slug till its close to the melt point, let it cool in still air, and do your slugging immediately. It's hardness will be at the lowest possible for the alloy right then.
I haven't heard of ball burnishing in barrels prior to you telling about it, but I am a very experianced man so far as precision, and know that it would have been done prior to cutting the rifling, to smooth out the circular reamer marks on the lands. In other words, the lands will be very smooth, but not necessarily uniform in diameter all the way through the bore. The ball can only knock high spots down, and float free over places where the reamer cut a bit large, if it did. Cut rifling can produce excellent barrels, or if pushed a bit too fast, can leave rough leading edges on the edges of the rifling grooves, which chew up cast bullets like a file. Therefore, I'm going to advise that you order a pack of push through slugs and the LBT lap kit when you order your mold, and send your best shot at making a throat slug along. I'll probably be able to pick up enough of the dimesions from it to make you an excellent mold, but if I can't I can send some throat slugs and the detailed instructions on how to proceed, and get things right. Any barrel with uneven number of grooves demands a special fixture to obtain a precise measurement. Just measuring with a micrometer will result in an undersize reading. I have proper fixtures, of coarse.
Perhaps of interest, about cut rifling. It works well with tapered barrel blanks, whereas buttoning demands straight blanks to provide a uniform pressure on the button. Then when the buttoned barrel is tapered, the bore opens up where the barrel is turned, most at the muzzle, of coarse. ALWAYS. It is unavoidable, and caused many people a lot of grief when they try to work up accurate loads in what one could accurately call a bellmouthed barrel. The worst case I've encountered was an 06 barrel of my own which was .0025 larger at muzzle than at the breech end. Nothing would make it shoot tighter than 2 1/2 inches. Before I pulled if off the action I hacksawed it to 14 inches, as I recall, and deburred the hacksaw burrs out with a pocket knife. I cut where it got thick anyhow, and fired one group to see how it shot. Presto, a one inch group! - Such is not a concern with cut rifling or hammered rifle barrels. Broached as in short handgun barrels are primarily plauged with roughness, which is the concern with cut rifling if the machinest was pushing production, or the rifling hook wasn't sharpened precisely or some other factor in the machine caused inconsistent locating of the rifling hook. Don't let your heart sink over all this. Cut rifled barrels are real easy to fire lap and become very good shooters, should your's not be a work of art.
I'm pretty careful about never recommending the best bullet for a rifle until after I see a throat slug, and learn what the customer wants the bullet to do. If strickly for target, I almost always recommend a spitzer, and in your case my SP.8, which isn't listed in my website. If for hunting, a spitzer is fine if used with the right alloy, while an LFN will expand at lower impact velocities. The LCFN would be the best option if your rifle has a short throat and you want maximum weight possible.
Please email me direct to work out any further tech problems and personal questions.
LBTisAccuracy@localnet.com