I did a similar trip about a year ago. Started at Ohiopyle PA for a 18' clean waterfall and the Lower Yough, then headed south to West Virginia or Upper Yough, Valley Falls, New River, and Gauley. Yough, New and Gauley have regular releases in the fall so fairly reliable.
In NC you have the Green, which released very regularly.
There is also the St Francis in Missouri to break up the drive, although I have only caught that in the spring so not sure if it is likely to be flowing.
A little google searching will get you the release schedules on the Yough and Gauley.
Also, if you will be staying in that area don't forget Gauley fest toward the end of September. It is a silly good time.