If it's Fayetville, Arkansas, it looks like it has some gravel and mountain bike paths, but also low-traffic mountain roads that probably have poor passing opportunities. And it also looks like people might come to cycle there.
From Fayetteville, road cyclists will discover one of the largest road networks in Arkansas – with over 400 miles of scenic paved roads accessible from town. Low traffic density, high road quality, and diverse mountain topography make Fayetteville the ideal destination for your next road cycling vacation.
https://www.experiencefayetteville.com/experience/cycling
So there's a possibility local traffic is being held up by tourists cycling nowhere in particular on roads where you might have to wait a while for a safe passing opportunity, made even longer by people struggling with an incline.
What would be a good infrastructure solution to this problem?