Okay, I guess I'll just keep it clean like I ordinarily try to do and leave it wet (not too wet, mind you).
I was under the impression that backboring as currently done slightly reduces felt recoil and improves patterning, by introducing a more-gradual taper to the bore in the back of the barrel than in "ordinary" shotgun barrels. But if it's already a long cone to the start of the choking, that's about as gradual as can be. The frosting and pitting isn't bad, I can see it but not feel it while brushing or patching. About what your punishment would be if you got your shottie rained on and went drinking before cleaning.