If you haven't already, and are still interested in feeding your kitty a frankenprey diet, I'd say stick to that instead of ground raw. It's healthier for your kitty and cheaper for you, imho.
Google "prey model raw (pmr)" to find another site that promotes a frankenprey diet. There's tons of info there, but Dr. Pierson's website also has other information besides cat food, too.
I used to have to worry about my kitties dragging their raw chunks around my apartment, but having a wide, flat dish (either stainless steel, ceramic, or glass plates) seemed to help and it also prevents excessive bacterial growth, and it's easy to wash/place in dishwashers. They've also somewhat learned where their "eating spots" are, so they haven't carried it off unless they feel threatened by another cat snatching it away.