As a work-around (to avoid making aluminum too shiny)...
Get a short length of plumber's Teflon tape (6" or so). Hold one end of the tape, lay the rest over the area to be buffed, and buff in one direction only, away from the end being held. If necessary, flip the tape around so you can burnish in the other direction.
Thin aluminum foil can be used in the same fashion.
Teflon tape and aluminum foil are very thin, allowing you get into the nooks and crannies. You also avoid contact between the buffing tool and the foil.