Photo above is of the Hotel Encanto. 

Contest Location: The New Mexico Farm and Ranch Heritage Museum
Contest Address: 4100 Dripping Springs Road, Las Cruces New Mexico.

Good choices: Hotels off I-25 or I-10 in Las Cruces – freeway travel is quick to the University Ave. exit. The farthest hotel shown on the map (on I-70) is ~15 minutes from the contest. Relative nightly pricing shown in map below.