Now offering FREE High-Speed Internet Access in ALL rooms. Located southwest of Kansas City, the renovated La Quinta Inn-Lenexa is convenient to the Woodlands Racetrack, Kansas City Speedway and the NCAA Hall of Fame. Visit Old Shawnee Town and the lakes and nature trails of Shawnee Mission Park. Spend a day at the Swope Park and Zoo, Worlds of Fun (water park and rides) and the Country Club Plaza entertainment district in Kansas City for shopping, museums and great eateries.