Can I make fried chicken without a deep frier?
B is your best bet. In fact, that's the original (And IMO, best) way to do it!  Find a nice heavy cast iron skillet, fill it around halfway with oil, and then fry your chicken and rotate it in the pan as needed

Here are some links:
http://allrecipes.com/recipe/deep-south-fried-chicken/

http://www.foodnetwork.com/recipes/alton-brown/fried-chicken-recipe.html