Not every small town or small/midsize city or suburb is notably dangerous. Some
are safe. Some are even safe and arguably also poor—poor-small-town Vermont, to take an example, tends to be more than a tad statistically different from poor-small-town Arkansas, say, if you want to carve out a whole category of poorish-small-town that may be relatively safe. And anywhere, exceptions may exist.
A whole shitload of them have much higher murder rates than NYC and several other "bad" big cities, though, and it's just about never the rich places of that sort that are high-crime (go figure). Yet, for folks who live in those demonstrably-dangerous places and travel, local members of their family commonly freak out about their visiting big cities that are, statistically, a lot safer than the place they're leaving to make the visit. This is due to wild misperceptions of where the dangerous parts of the US are—some are in big cities, but a lot aren't, and many of the "bad" big cities are actually relatively safe, if you compare them to smaller cities and towns.
What I meant is that if you want to look at small towns and suburbs and consistently find ones that are safe, you're going to want to limit your search to the relatively rich ones. That's a category that largely does fit the assumptions of safety that people have for small towns and suburbs in general (which assumption holds... less well, with a wider net cast)