Turner Falls is west of Interstate 35 just south of Davis, Oklahoma. It's located in the Arbuckle Mountains. Yes, for Oklahoma these are mountains. A lot of people visit the falls on the weekends. If you're a people-watcher, then go on a Saturday. If you prefer a more laid back atmosphere, then go up sometime during the week. There's some ok hiking, an abundance of campsites and plenty of swimmin' holes.
I haven't been throughout the entire Arbuckle Mountain area, but I do not ride to that area of Oklahoma for the twisties. There are some good roads in the area, but it's not enough to attract me on a regular basis from Dallas. Instead, I go for the quiet, relaxing atmosphere and the cool springs that a weekday visit offers up.