Well, if you are pushed for space you could store foods that are not meat but are going to be cooked along with the raw meat, eg vegetables, mushrooms, potatoes. The cooking would kill off any stray bacterium which had strolled across.
That would free up space elsewhere eg in the vegetable drawers, to store lots of other stuff.
And yes, I do have a potato bag that is supposed to stop them sprouting and keep them fresh, but it doesn't really work and I find they are better kept in the veggie drawer in the fridge!