The tumbler with pins is my current operation. After rinsing and wiping down the outsides I place them on narrow dowels that I have glued into drilled holes.
I've been back and forth using a dry tumbler vs wet tumbler, with pins or without. It comes down to this: If it works and your happy, so be it.
Since I've got more time on my hands than good sense (per my wife), this is my toil:
1. Deprime (obviously)
2. Fill my wet tumbler with tap water, ss pins, a squirt of Dawn, and a scoop of Lemi Shine. Tumble for 30 minutes. Drain carefully (avoid dropping pins) and fill with clean water for rinse. Run for 5 mins.
3. Drain and hand tumble using my case tumbler. Remove all pins during tumble process. Take your time.
Those magnet pickups are great for retrieving pins. Highly recommended.
4. Place wet cases in case dryer. Set at 150F for 2hrs.
They always come out clean and shiny. Never had pins get hung up. Always inspect cases prior to further processing.
As I said, it takes a bit of time, but the results work for me.
Your milage may vary.