Dottie Jordan Park boasts 11 acres right near downtown Austin. It is more geared toward family activities with barbeque pits, basketball courts, picnic tables, playgrounds, a swimming pool, and tennis courts. It does have about .4 miles of trail, and locals are working on improving and extending those trails.
30.314432, -97.674479
http://www.tripleblaze.com/trail.php?c=3&i=6700