After considering this since I started the post, I think I'm going to start phasing out my emergency stores and replacing them with more primal stuff. I can swap out beans and canned foods with sardines, canned salmon, etc; I'll just buy a little extra every time I go shopping and rotate through it as it nears expiration. I should be able to start donating all the bad stuff as I get more primal food stockpiled. Probably keep some rice, though.
I'm really big on having a few weeks' worth of supplies (or more) just in case there's ever some huge catastrophe that disrupts supplies. Also...zombies.