east coast region
Turkey Point (FP&L) is in Homestead, FL. Vermont Yankee (Entergy North?) is in Vermont. About 30 operating nuclear power plants are in between. There is a world of difference in areas near the East Coast. What states would you be willing to work?
Southwest does not have as many choices. Texas has some good plants, with potential for new plant construction. AZ has Palo Verde (APS) near Phoenix. CA also has plants, but is probably not the area you were describing.
Take advantage of the military housing office resources to validate cost of living in any area. They tend to be simple and straight-forward.
And thanks for your service