Most real estate offices have someone who does property management in their office.  Rentals move quickly with people coming and going.  Below is a list of the property managers I'm familiar with.  If you're looking for a rental, my best advice is to call each of the people below once a week or ask to be put on a list.  You can also check out rentals on the local papers website under classified ads.  That website is www.cortezjournal.com.

Southwest Realty: Barbara Smith: 970-394-4444

RE/MAX Mesa Verde Realty: Beverly Williamson: 970-565-2000

4 Corners Properties: Randy Graham: 970-565-1211

Century 21 West Slope: Cora: 970-565-8408

Colorado West Realty: Carla: 970-565-3664

Good Luck!