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With those constraints, you're probably going to want to investigate…”unusual” storage locations – closets, under beds, crawlspace/attic, etc

Spices don't take up a lot of space, and store for a long time

You probably won't be able to store much in the way of meat, unless you can or dehydrate it (pemican, jerky, biltong…)

I've known people who've used canned foods as [effective] replacements even for bed frames 🙂

Here's a blog post (with attendant PDFs for free download) I just heard about recently in a podcast on stocking for long-term eating: http://everythingunderthesunblog.blogspot.com/2015/05/pdf-file-downloads.html?m=1