Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Kansas City to Carlsbad, New Mexico as you normally would.
MCI and CNM are unique codes to identify airports used in the aviation industry. They are defined by IATA (International Air Transport Association) and are commonly called IATA codes. MCI to CNM refers to a flight route from Kansas City Airport to Carlsbad Cavern City Airport.