I'm a big fan of the stainless wet tumbles myself. If I had those that's what I'd do. Wet tumbling is a bit more of a pain --- particularly with Snowmageddon upon us since I usually use the "sun" and "nice temperatures" to dry things. I use the RCBS tumbler and usually the way it works is:
1. Save a bunch of brass up (because this is a pain even if it gets things factory new looking)
2. De-prime all brass. I don't size here, just deprime.
3. Load up a few pounds of brass, fill tumbler about 3/4 full and add some hornady case cleaner. I forget the ratio and the garage is cold for me to go look.
4. Run tumbler for about 2 hours.
5. Admire the super duper shiny brass while straining it.
Now, for the reason it's a pain. I can repeat that procedure about 8 times before the solution has lost it's solution-ness. That's why I like doing big batches to make it worth it. So after the timer is up, then the changeover begins
6. Do basic strain of container into 5 gallon bucket. Really shake the tumbler hard to get as many pins out as possible. Set bucket to the side.
7. Dump brass into a rotary media separator. Go to town until I don't hear pins coming out.
8. Get 5 gallon bucket 2. Pour a bunch of brass in, rinse with garden hose while agitating. Empty water and retrieve pins with magnet until rinse water is clear. Repeat till all brass is done.
9. Another separation in the rotary.
10. Set everything on a towel in the sun for a few hours. I hear you can just put them on trays in an oven on low if your wife will not murder you for having brass in the oven, but I'm not trying that.
11. Pour solution and all pins and more dirty brass in and start over.
If the sun and wind gods shine upon you then the brass on the towel will be pretty dry before the next batch is done, but I just leave it in the sun for about two days kind of agitating them from time to time.
That method will take the nastiest dirtiest range pickup to new looking. Just consumes time.
As a bonus like
@Schüler Jumbo pointed out, annealing is a great idea. Any fired brass I get for big boy cartridges gets annealed before I trust it. I don't worry about that on pistol or "common calibers" like 223.