I sometimes go to terry hershey from memorial park either straight down memorial drive but parts of it bikes are banned from the road though I have never been ticketed or warned but that puts you at the far west end of the park. You could also take woodway than left on chimney rock then right on san felipe which turns into briar forest (which has a bike lane) then right on wilcrest until you see a bridge, under that will be the terry hershey trail, the trail entrance will be on the left hand side immediately after the bridge. Hope that helps, also where the bikes are banned on memerial dr they do provide a sidewalk for cyclist and pedistrians but there are a lot of hidden driveways and cross streets seems like a dangerous combo.