I'm with Buffalobob on this one.
I keep it simple and use a decapping assembly as I take each one out of the tumbler. Sure it takes time, but anything worth doing is worth doing right. Plus, the money I don't spend on some fancy apparatus to do it for me goes to components.
I decap/size, hot bath, rinse, dry, tumble, and then punch out media from flash holes.
For extremely dirty brass I have been known to bathe and tumble (the brass, not me) before decap/sizing to prevent scratching the inside of the die.