In the Asheville area, renting a house or apartment with a pet is a challenge. In general, renting with a pet, especially a larger dog, can be challenging, wherever you live. Some rental properties even place restrictions on certain dog breeds. It can be such a tough problem that some renters will even surrender their pets if they can't find pet-friendly rentals. That's why, several months ago, Carolina Mountain Dog published a listing of some local resources for pet-friendly housing.
An infographic from Tails Pet Magazine might also be helpful. "Renting with Pets: The Good, the Bad, and the Frustrating" covers pets and the rental market, pet rental fees, and has suggestions for "finding your perfect pet-friendly rental."
Check out the infographic here: http://www.tailsinc.com/2018/08/renting-with-pets-good-bad-frustrating/