Wade..hope your running a DE-humidifier [I'm sure you are] and some fans..It will make a world of difference, they really suck out the moisture....run them for a long time after the paint too.
When we built our houses we thought our basements were dry, but sucked moisture out of the cement and sheet rock for months.
Reconsider the carpet idea..they make some tiles now that really look like ceramic/porcelain that you can lay your self, then some throw rugs would warm it up for your tootsies. Friends with a brand new house put carpet in a damp basement and it was a mistake....their leather shoes, purses, belts and anything leather would get moldy...It was a walkout basement, the bedroom was out of the ground on the window side and for some reason there still was a moisture problem....just my thoughts.