There is a list of about 50 some odd things you can use in the Big Shot and aluminum foil is one of them (although the list says only for Bigz and Originals Dies but I figured that aluminum might work well with the texturz plates since it is similiar to cardstock in thickness). You still need to do some trial and error, because I tried a different plae - damask and it ripped the aluminum foil at a few places.
Stamps: Party Hearty, Teeny Tiny Wishes
Ink: Bermuda Bay, Tempting Turquoise, Crushed Curry, Basic Black
Paper: Basic Black, Tempting Turquoise, Whisper White, Crushed Curry, heavy duty aluminum foil
Accessories: Big Shot texturz plates, stampin' dimensionals