Kayaking in to hunting grounds
It will be difficult to find a river to navigate if it runs through the higher mountains. Linville river doesn't even have whitewater kayakers on it.
The Green River Gamelands has whitewater kayakers, but it's rough and only certain parts are OK to paddle.
Check the Catawba or the French Broad and see if they run through any places you can hunt. Also the Little Tennessee is a nice paddle. Near Nantahala..
Good luck, enjoy.