As a disclaimer: My handloading methods are probably far different from what most of you do.
I use a $40 Ultrasonic cleaner from harbor freight, distilled water, and hornady cleaning solution.
I decap and place in the cleaner, 50 rounds gets to about the half way mark. I fill with distilled water until cases are submerged, and add the cleaning solution (I guestimate the 40:1 ratio). Run for one 8 minute cycle, let sit, another 8, let sit, another 8. Usually over anywhere from 45 minutes to 6 hours, just depends what is going on in life. I pick em out one at a time and put them upside down in a RCBS reloading block with holes drilled in each of the detents, to allow water to drain. Before I drilled the holes, I would sometimes end up with some residue around the mouth.
*There are some homemade vinegar recipes that people swear by, I have not tried them.
*I have heard horror stories about corrosion of brass from tap water, I have never tried to use tap water, and at $0.69/gallon, distilled water will work just fine.
*I have heard of various drying methods, from paper towels to a 2x4s with trim nails.
I can do up to 100 peices of 308 brass at a time, but I work in 50 round lots, so it never sees more.
They're not super shiny like SS media, but they are clean inside and out and I know that I haven't beaten them to death nor scraped brass off the surface.
Images courtesy of "Gene Pool" from SH: