Hornady Lock-n-Load Sonic Cleaner
I use the small Hornady Lock-n-Load sonic cleaner on my brass. It does a great job of cleaning the brass inside and out, including the primer pockets. As others have said, it takes at least a day for them to dry out (if you don't want to put them in an oven to dry), so you can't be in a hurry. I generally run the cleaner while I'm watching TV or something, that way it has plenty of time to rest between cleaning cycles, and I can run as many cycles as I need to. Each cleaning cycle is 8 minutes (that's the max time on this little cleaner), and you're supposed to let it rest 2 minutes between every 3 consecutive cycles (it gets a little hot). But if I'm doing something else, and not sitting there watching it, then it most times sits more than 2 minutes between each cycle anyway. I usually run about 6 - 8 cycles to get them really clean. Afterwards, I dump them in a one-gallon milk jug with some clean distilled water and swish them around real good. I do that a couple of times until it looks like all or most of the cleaner has been removed. (I use the one-shot brass cleaner) After that, I blow them off with some compress air to get most of the water off, then let them sit out on the workbench in the garage for a day or two until they are completely dry.
It's not real fast, but my process produces nice clean, dry brass for me to reload.