Here we go. It's a bit of a rush job, but mainly because I couldn't find/remember that list. I also ran out of good ideas near the bottom of the list.
No offense, but I find a lot of issues with those names. Applachia in the gulf states? Isota? There's no point in making up names for these new "states" in the UPRA, and I can't think of many Americans who say "Appalachia" and think of the South. Appalachia is where your "north appalachia" lies. I promote the idea of "Dixie" for that particular region of Alabama, Mississippi, and Georgia. It makes more sense. And why would a communist state, supposedly atheist, use a religious-loaded term like "Deseret"? While I like to see the results of a communist USA, you should put more effort into the actual divisions and their names. I think you'd be better off sticking to current state names. And if you're that set on creating new borders for the PR's, I would recommend a smaller number.
Here's my ideas for your list:
People's Republic of New England(the usual new england states plus New York and Pennsylvania)
People's Republic of Appalachia(Virgina, West Virginia, Tennesee and Kentucky maybe Maryland as well for simplicity's sake)
Democratic Republic of Dixieland(Alabama, Mississippi, Georgia, Florida, Carolinas)
Marxist Union of Pacifica(Washington, Oregon, California, Nevada maybe as well)
Great Lakes Union of Communes(Wisconsin, Minnesota, Illinois, Michigan, Ohio, and Indiana)
Democratic People's Republics of the Heartland(Kansas, Missouri, Arkansas, Iowa, Oklahoma)
Rocky Mountain Socialist Union(Colorado, Utah, Wyoming, Montana, the Dakotas)
Grand River Worker's Federation(Texas, Arizona, New Mexico)
Of course, if it's a brand new country trying to get rid of the "outdated bourgeoise order and their states" wouldn't they choose new borders altogether? Sorry if I'm seeming overly critical, but those divisions of yours just don't make sense to me.
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As for AAR's that I enjoyed: I liked "In peace and freedom" a swiss AAR that has really interesting things going on even though switzerland never expands beyond its original borders. Also, for a TL where the Act of Union never occurs and the kingdom of Ireland reforms check out "Ireland, Awake" and its sequel "Ireland, Ascend". Both are a good read.