I recently discovered 3M micro abrasive film. Tools For Working Wood sells a sample pack of five 8 1/2 × 11 sheets for $13.95. The grits are 40, 15, 5, 1, and .3 microns. (1 micron = about 8000 grit) I cut the sheets in half and mount them (they are PSA) on 6″ × 12″glass plates. They stay nice and clean and store easily in a small box. I couldn’t be happier with the speed and quality of the process.
I for one am done with the mess and expense of stones.

The early bird gets the worm but its the second mouse that gets the cheese.