Just wrap your die in a piece of cardstock, taping the card onto the back of the die on both sides. Run it through the bigshot and remove the cut out piece. Now you have a frame for your images! Slide the card in, position carefully within your "frame", run through your machine. Voila! Why didn't I think of that before? The pic quality is terrible (that's my work desk underneath btw), but I hope it gives you the general idea.
Would you like a free big shot? Check out the special offer page for how to get one!!!