The Swamp Rabbit Trail is a 22-mile multi-use (walking and bicycling) greenway that traverses along the Reedy River, an old railroad corridor and City parks to connect Travelers Rest with the City of Greenville, South Carolina (yes, it’s in the North Carolina listing – but it’s so close and so good).
https://citygis.greenvillesc.gov/swamprabbittrail/index.html
The best part for biking is the Sliding Rock Creek Trail. The one-mile soft surface trail is located in the Sliding Rock/Green Forest Park area adjacent to Sterling Elementary and the Swamp Rabbit Trail in the Nicholtown neighborhood. Initially conceived as a mountain biking experience, the trail is suited for biking, hiking, trail running or nature walks. The Sterling Elementary school would make a great parking spot and start to your ride.
From Reedy Rides, after you rent a bike, you can venture south on the trail through Greenville’s many parks. The Swamp Rabbit links up with Falls Park, Cancer Survivors Park and down into Cleveland Park. If you head out north you’ll see how the trail has transformed from an old rail-bed to a thriving trail with many breweries, eateries as you head toward Furman University (7 miles) and Travelers Rest (10miles).