Washita Battlefield National Historic Site
National Historic Site of the United States.
Each edition grades its towns against each other only.

With nothing inside Wheeler, the list has 2 places within 40 miles. The commonest are a national historic site and a museum. A typical year brings about 11K visitors to Washita Battlefield National Historic Site.

National Historic Site of the United States.
The towns around it, and where to stay →
Furthest out is Washita Battlefield National Historic Site, at 34 mi.
Orange: Wheeler. Numbers: the best-known places, matching the list below. © OpenStreetMap contributors
2 places, all within 60 miles, make the list.
National Historic Site of the United States.
Ranked by how many people look them up, so the famous places lead and the local favorites follow.
Washita Battlefield National Historic Site: Neurosynthetic, CC BY-SA 4.0 · Devils Rope Barbed Wire Museum: Venturist from London, United Kingdom, CC BY 2.0