Before I started wet tumbling/stainless media, I had started removing the primers before tumbling in corn cob or walnut media. It made a substantial reduction in the amount of black residue that accumulated. There is a lot of burnt compound in primers, and depriming them first extended my media by amount twice as many tumblings. Another thing that help reduce contamination of the media is to lay a tarp down when shooting on gravel/dirt, especially in the rain/snow. I would throw out the tumbling media when it got to the point my hands were getting noticeably dirty by just picking out a few cases.
Now I de-prime, stainless wet tumble, case prep and size, and for rifle cases I then dry tumble in corn cob media to remove the case lube. Concob media now stays clean a very long time. I rinse the stainless pins after each batch since it really scrubs out the burnt powder in the primer pockets and inside the cases much more than dry media.