You might, Mr. M., try a rouge cloth. These are sold for polishing jewelry, and any craft shop with a beading section ought to have one. It is permeated with a very fine abrasive, and ought to smooth down the surface without any risk of removal. It should get you as buffed a surface as is possible.
Have you given any thought to using foil? It is easily prepared fom house-hold aluminum foil, and really not that difficult to use. Nothing looks quite as like a metal surface as a metal surface.