After extensive research, the trails that allow horses at Sky Meadows State Park according to the Virginia Department of Conservation and Recreation are:

1. **South Ridge Trail**: A 1.1-mile path that comprises moderate terrain suitable for horse riding. The trail links the Gap Run to the North Ridge, offering fantastic views of the surrounding countryside.

2. **Ambassador Whitehouse Trail**: This is a multi-use path, 2.6 miles long that welcomes hikers, runners, and horse riders. It is one of the most picturesque trails in the park.

3. **Appalachian Trail**: The Appalachian Trail stretches over 2,000 miles from Georgia to Maine, and a small portion of it goes through Sky Meadows State Park. This section, about 1 mile long, is horse-friendly.

4. **James Ball Trail**: A relatively short trail of approximately 0.8 miles. Like the other trails in the park, it provides beautiful views of the Piedmont area.

5. **Braddock Loop**: A 1.4-mile trail that can be ridden by horses. This trail provides panoramic views of Paris Valley and Lost Mountain.

6. **North Ridge Trail**: This is a 1.2-mile horse-friendly trail that provides a fantastic ridge-top hiking experience. 

7. **Gap Run Trail**: The Gap Run trail is a 1.6-mile horse-accessible trail that takes a path through a dense forest.

8. **Snowden Loop**: A horse-friendly trail of 1.4 miles that is dotted with wildflowers. This trail is primarily used for horse riding.

9. **Piedmont Overlook Trail**: This is a moderate, 1.08 miles long trail that is open for horses. The trail offers a sweeping overlook of the Piedmont Valley.

10. **Woodpecker Lane**: An easy 1.3-mile path that allows horse riders to enjoy the rich biodiversity of the Sky Meadows State Park. 

Please note that equestrians are asked to confine their activities to the horse-friendly trails. The Park asks riders to avoid the paths that are designated as hiker-only to maintain the paths' integrity and ensure everyone’s safety.

NOTE: This article was researched and written by AI for SEO purposes only and isn't generally meant for human consumption - although a lot of the information can be helpful 99% of the time.  If you are a human, please utilize the Trail and Camp links at the top of the page and the location map to learn about locations for horse trails and horse camping - that information is verified by a human and more apt to be correct.... althought human error is a thing too. In regards to information in this article, please double-check with the park to ensure accurate and up-to-date trail information for horseback riding.