I think part of the problem with rock polishers for smoothing plastic
is the plastic is very light weight compared to stones in a tumbler.
As a result the surface pressure that allows the grit to polish the
plastic is very light if...you just have plastic parts and grit in
there. Its why you always have to put multiple stones in a tumbler,
not just one so that they can "mash" against each other with the grit
in between.
I would suggest putting some small stones or maybe marbles or BB's
(ball bearings) in with the plastic part. Obviously delicate parts
could get destroyed with this method if your stones were too big and
heavy. Fish tank gravel (the smooth, natural kind) might be just the
ticket. Small hard stones that can get into tight places and that are
individually light, but in volume provide some bearing mass.
Corn cob, and nut shells work with shell casings because the brass is
dense compare to plastic so it provides enough weight for the shells
to push the polishing/burnishing material against each other.