The "hot springs and hot pools in the southwest" or northwest have some hot springs in the east coast. These are the old school books that are continually updated so they actually do include the east, at least whats there. I think there are about 5 total. Plus you should be aware that all hot springs tend to be in the books. I own several books for several areas and use more than one when I am springing. Several people have told me about hot springs that are not in any books and give me detailed directions, then I go to my car look through the books and find that very hot springs. So far there is not one hot spring people have told me about that I could not find in one of my books!

Sad, but I don't think there's any hot water east of the front range. Warm Springs is just that, as is AR. Bit more than that few hundred miles. OTOH, warm water is better than none ... :)
B

North Carolina Hot Springs (In the town of Hot Springs). They are developed, but tubs are private.

In Virginia and W VA there are the VERY developed springs of White Sulphur Springs (the Greenbrier) and the Homestead. But these places are VERY pricey and ultra posh.