You're a few years younger than I am but I'll give it to you straight...you're at quite possibly the worst age to either be starting over or trying to find that "settling down" relationship. Lots of folks get married in their 20s or 30s and have plans to start a family. If for whatever reason that marriage ends and kids had come into the picture they're forever part of the picture.
I think in a rural setting it could indeed be hard to find someone closer to or the same age as us that didn't go the "societally expected" route of "grow up, get married, have kids" that is the general mindset of Small Town, USA...no shade being thrown, but I grew up in such an area and that was all I heard about my future as a kid from adults and family members.
In a metro setting it might be just as hard to find someone single in our age bracket that doesn't have kids, to be honest. There may be a larger dating pool but it's still a general "of a certain age" kind of thing. Not everyone went the "I know for a fact that I don't want to take on the responsibility of being a parent so I'm going to get a vasectomy" route that I did. If gods forbid my wife and I ever split I'm going to be in the same boat as you though...I chose not to have kids but any future partner my same age I'd end up with is more likely to have had kids than not. It's just how it is.