Several reputable brands offer manual machines with a 9-inch opening designed for high-pressure paper crafting:
Bira Craft Adjustable Die Cutting & Embossing Machine Starter Kit Etsy - BiraCraft& more Go to product viewer dialog for this item.
To put together your paper project correctly, you must layer your materials in a specific order (often called a "sandwich"). While exact orders vary by machine, a typical 9-inch setup for Bira Craft machines includes: