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).
An American Small Town sounds a lot like your village.
But, we have like 10,000x as much space to spread out in, so we can have these villages every 10 miles or so in every direction. You could easily drive for 24 hours across the country and easily avoid all major cities.