I agree with 2wheels.....I spent 2.3 days on the BRP (North to South) and I thought I was rushing it. So much to see.
469 miles.
45 mph, and at times a lot slower.
That's 10+ hours in the saddle, not counting gas and food, pictures, inadvertent pull offs, etc......
And I was doing faster than 45 when I could.....

Cherokee to the Dragon is another 3+ hours.
Where is your lodging point that night?