As a non-American, I’m very confused by this. If it’s a town, it’s not rural by definition. Because, you-know, it’s urban.
Also, could we get a definition of town vs small town. Do you not have the concept of a village? (Village in the UK would be a settlement with a population of a couple of thousand, with usually a pub, local shop, maybe a post office and primary school if you’re lucky).
In my case it was population 600, 1 paved road through it, no stop lights, 1 or 2 roadside stores, a small k-8 school, and a 2 room post office.
That’s a “wide spot in the road.”