Thanks for your help, men.

Rocketman, is your press mounted wad punching arrangement similar to what Buffalo arms sells? They look really neat and efficient, but far less fun than belting stuff with a mallet!

I'm glad your wads come from something as tasty and happy sounding as cheerios. I've found a perfect source of a hard, solid, strong cardboard about 3/32" here... the snag is that they come from our army issued ration pack cartons!