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).
Low population, low density, lots of farm land, can count the number of houses in a mile stretch of road on your fingers. May have one small commercial area within 15 miles with a dollar general, a gas station and, if you’re lucky, a grocery store. Not nearly enough businesses nearby to employ people even the measly number of people there that isn’t a farmer, so they commute to neighboring towns or counties to find work in factories, possibly dozens of miles away. I basically just described where my sister lives in Tennessee.