Upon thorough research from official sources, the New River Trail State Park is primarily a multi-use trail where horses are allowed on most of its length. Here are several specific trail sections for horseback riding:

1. **New River Trail Linear Park** - This extensive 57.7-mile linear trail is the primary trail of the park and is open for cyclists, walkers, and equestrian users. The trail goes along an abandoned railroad right-of-way and naturally preserves the New River's flat, gentle gradients. It goes through beautiful scenic landscapes, offering equestrians an enjoyable ride.

2. **Chestnut Yard Horse Trail** - This trail is an excellent place for horseback riders due to its wide and well-maintained pathway. The trail starts at Chestnut Yard and runs parallel to New River, giving riders a scenic journey.

3. **Hiwassee Trestle Trail** - The trail leads over the magnificent Hiwassee Trestle, an awe-inspiring piece of engineering, and as such is a popular destination within the park. Horseback riding is allowed along this trail, providing riders a view of the New River from above.

4. **Fries Depot Trail** - Starting near Fries Depot, this portion of the trail welcomes equestrian users. Riders can ride alongside the New River, exploring the remnants of Virginia’s rural past.

5. **Cliffview Horse Trail** - This trail originates at the Cliffview campground and runs along the river, offering riders a beautiful journey through Virginia's rolling hills and lush vegetation.

6. **Draper to Pulaski Trail** - This trail starting in Draper and ending in Pulaski is also open for horseback riding. Along this trail, riders can enjoy the calm serenity of New River and the dense, surrounding forests.

However, while horses are allowed on these trails, riders are reminded to always be mindful of other users and yield the right-of-way where necessary. Restrictions may also apply in certain areas of the trail to mitigate environmental damage or manage conflicting uses. Always check with park officials or website before venturing out for the most current information.

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.