I posted this back in 2010, but not many people thought it would work. I've used this method, and it works pretty well:
After much trial-and-error, frustration, and cursing , I've finally come up with a sandwich that works for me when I want to cut and emboss my Spellbinders dies in one step when using my Big Kick. Keep in mind that this does not produce an extremely deep embossing, but it is definitely noticeable enough for me. In addition to the usual materials, you will need a magnet sheet. It is just the right thickness, and it keeps the dies from sliding around. I bought one at Michael's for a few dollars. Here is the sandwich, from top to bottom:
Clear Mat
Cardstock/Paper (face-down)
Die (blade-up)
Magnet Sheet
Clear Mat
Multi-Purpose Platform
You might try adding a cardstock shim, but it was too thick for my comfort. I don't like forcing things through my BK. I hope this works as well for you as it does for me. (I will be cross-posting this in the Big Shot forum.)
Read more:
Forums at Splitcoaststampers