Dad's 2WD truck has a limited-slip differential and he's driven it in the winter before. All the frothing at the mouth with 4WD is overrated - good tires are more important. Limited-slip diff's will help with towing too.
This.
If its going to see that few miles I wouldn't even bother outfitting it with snow tires, just don't drive it in the snow, wait until roads are clear or use your other vehicle. There is no need to have all of your vehicles prepared for every single weather contingency.