Now offering FREE High-Speed Internet Access in ALL rooms. Located north of downtown Austin, the La Quinta Inn-Austin Highland Mall is minutes from the Austin Convention Center, Texas State Capitol, Travis County Expo Center and the University of Texas. Visit Bob Bullock State History Museum, 6th Street and the Warehouse District, and the LBJ Presidential Library and Museum. No visit to Austin is complete without seeing the famous Congress Avenue Bats and the Star of Texas Fair and Rodeo.