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).
After thinking about it a bit, towns with a large corporate presence, like a major grocery store etc., but no Walmart, would fall somewhere in between rural and urban. Low or no corporate presence is almost always a rural town.