Just because my theory on zombies is not to makes much noise unless its truly needed, I'd rarely be shooting them unless they came to close for comfort or there was a large number. I also live in an area where I can walk less then a half mile and I'm in the country side too.
All-in-all I'd take my Remington 770 (.243) to use on the deer, moose and bears out here, as well as for the longer shots on zombies if its needed.
My Savage 93R17 would be coming along too since it want something a little quieter for dispatching small game for food and closer zombies.
The third gun would have to be my SKS since not only does it fire faster then both those two rifles, but it's also quicker to reload.....I'd also hammer out the rivet in the magazine since I don't think many people would worrying much about laws at that time.
My melee weapon would probably just be the blade on the SKS since its be close at hand.
I know I was supposed to pick just one rifle then a handgun and shot gun, but in lacking a shot gun and I don't have the proper licensing for a handgun yet. So I picked out of what I have at the moment.