Now offering Complimentary High-Speed Internet Access in ALL rooms. Located minutes from the U.S. Space and Rocket Center on Huntsville's main drag, the La Quinta Inn-Huntsville Madison Square Mall is just steps away from restaurants, mall shopping, and nightclubs. From here, visit the Huntsville Municipal Court House, EarlyWorks Museum Complex, and Alabama Constitution Village. For events at Von Braun Civic Center and Joe Davis Stadium, this is the place to stay.