Jamie:
I realize that this is late for the bowl you were talking about in your original post, and that you have your Beall buffs by now, but just in case you ever need to buff something smaller than your buffs, I figured that I would relate my solution.
I glued a piece of sponge to a dowel rod. I kind of molded the sponge around the end of the rod into something resembling a ball. I covered that with various kinds of material to find one that worked well. I tried pantyhose (we won't go into why I had pantyhose to try), I tried T-shirt material, cheese cloth, etc. Using white diamond and hard wax, I was getting very good finishes. I now have the Beall ball buffs, but I don't know that they do that much better of a job for the price.