We did it last summer and had a blast. We did it in 7 days. 6 days riding and a rest day. For perspective the previous two years I did the Blue Ridge Park/Skyline Drive, unsupported, averaging about 75 miles with lots of climbing, and the Natchez Trace in 5 days averaging 100 miles a day.
Both of those were harder, but considering its gravel, and some sections with very poor wet conditions on the C&O, it wasn't much easier than either of those.
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You could fall off a cliff and die.
You could get lost and die.
You could hit a tree and die.
OR YOU COULD STAY HOME AND FALL OFF THE COUCH AND DIE.