I built a tumbler in the shape of an octigon. It's a fairly large one that will tumble about 1000# of parts. To big for a handful of parts. I understand the finish you speak of but I have found that my customers find the finish very satisfactory. The only time I use "slugs" as media, is when I don't have a full load of various size parts.
A tumbler of this design is probably the most time effitient method of automatic cleaning. Mine will remove some pretty horrible looking dross in usually 5-7 min. Also if you let heavier parts tumble more than that the edges will begin to become mushroomed out.. Lighter small parts I can let go till they have a very nice matte gray/silver finish on them
If it works.....Don't fix it!