Eastern oar rigs?
I'm sure you could get a small inflatable w/ an oar frame down some of the runs (Gauley, French Broad, Ocoee, Nantahala, maybe the lower part of the Cheoah, etc), most of the runs are a bit narrow for oars and are more conducive to paddle boats.
A majority of the runs are smaller drainages that go sporadically with rain. A few are dam release (like the Cheoah and Nantahala mentioned above).
I would paddle boat as a first choice, given the style (and length) of the runs.
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