Now offering FREE High-Speed Internet Access in ALL rooms. The La Quinta Inn Tucson Downtown is close to the University of Arizona, Tucson Convention Center, Starr Pass Golf Resort, and the Sonora Desert Museum. Visit San Xavier Mission and Old Tucson Studios. Try your luck at Desert Diamond Casino and Casino Del Sol, or spend a day watching Major League Baseball at the Tucson Electric Park Spring Training Center, home of the Chicago White Sox, AZ Diamondbacks and the Colorado Rockies.