I'm suspicious of your rinsing.
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Me? Okay, you asked for it..
Step one- remove cap and dump as much of the tumbling water out as I can without spilling any pins or brass.
Step two- refill with clean water, again dump without spilling pins or brass, repeat until water shows zero signs of soap or suds when filling, then do one more.
Step three- stick section of hose connected to faucet down to the bottom of the barrel, turn it on and find something else to do for a few minutes, just let it overflow into the sink.
Step four- empty barrel one last time, still making sure not to spill any pins or brass, so ,yes, a bit of water remains.
Step five- Dump contents of barrel into RCBS media separator, fill it just short of the brim with clean water, close, spin for 30-60 seconds.
Step six- Remove top of separator, place basket in top, dump water without spilling any pins, replace basket and top, one last spin to remove as much water as I can.
At that point all the pins are either still in the barrel or at the bottom of the separator. Basket of brass get dumped on a towel for a quick "bowling ball" session, then into the dryer.