I drain off most of the dirty water after a tumbling cycle.
Then I dump my rifle brass, SS pins and remaining dirty water from the tumbler into a basic media separator sitting over a bucket.
The bucket sits in a deep utility sink that has a hand sprayer attachment on the faucet (like a kitchen sink)
I spray the brass and SS pins while stirring them around with one hand.
This rinses the brass while washing the SS pins down through the media separator into the bucket.
Once all the SS pins are washed from the brass, I then pick up the rifle brass and tap them neck down on the media separator to knock out any excess water or remaining SS pins. At the same time, I check the flash holes for any stuck SS pins.
The inspected brass gets tossed into a strainer.
Once all the brass from that load is inspected, it gets dumped from the strainer onto an old folded towel.
Spread the brass out to one layer thick, cover with another towel and roll them around a little.
Now the brass is dry on the outside but still damp on the inside.
If I'm not in a hurry, I leave them lay on the folded towel to air dry with a small fan blowing over them.
If I need the brass to dry faster, I next lay them out one layer thick into an old food dehydrator.
Even a large load of brass will only use 2 trays of the dehydrator.
You can often find used food dehydrators at garage sales or on Craigs List for $10 to $20.
I believe using too much Lemi Shine can be a problem. A little goes a long way.
If you use towels and get the outside dry quickly after rinsing, spotting should not be an issue