For this scenario, I'd go with the .367 Magnum crowd. Personally, I'd grab a 357 Handi-Rifle* and a Ruger Blackhawk 357/9mm convertible, though there are other viable options (like Rossi) for a single-shot rifle and revolver combo in 357. In a SHTF scenario, it's good to have tools that are low-tech, low maintenance as well as versatile. I for one would never like to take a shot at a deer unless, I knew I could take it out with one shot. You'd fairly likely end up wasting your .22 rounds and never killing the deer (or at least finding afterwards) in most real world situations. Another bonus for the 357 set-up is that you can use any 38 Spec. rounds you come across (same goes for 9mm if you get a convertible revolver).
*If you wanna get really versatile, you could fine somebody to ream the rifle to 357 Maximum and handload you a handful of rounds for special occasions.
*If you wanna get really versatile, you could fine somebody to ream the rifle to 357 Maximum and handload you a handful of rounds for special occasions.