There's an economic theory that some Catholics advocate known as Distributism.  The idea is that means of production and wealth generation should be distributed widely and owned at the lowest possible levels.  The distributists argue that any government intervention should focus on preventing centralization and monopolization.

I think something like that is the only way to preserve rural, small-town communities in the long run. 

 I agree with most of that, but... 

I really can't stand the statist bent if most big C Catholic Church... Not doctrine (I know that's not the correct word) on things that deal with The State. 

We, as humans, do not need nor should we desire "the state." 

But absolutely yes to keeping everything local and distributed and decentralized.