I haven't seen any adapters on eBay in a long time, but they wouldn't be too hard to make. 7/8-14 thread on the outside, 11/16-24 thread on the inside, probably a thin flange on the top so they would maintain their position.
I'm interested in your Lifetyme 30 Carbine die if you are interested in selling.
On a side note, I had a conversation with Dave at CH4D a couple years ago and he said he had a "Star" 32-20 shell plate and dies set. I didn't ask if the sizing die was carbide or Lifetyme. I did ask if he was willing to sell, and he wasn't. I don't think he knew if he could find it either.