I would think that you should break down the trip to 2 days getting there, 2 days back, with 3 days there. The recovery time either way will be too exhausting to get back to a somewhat normal state after a 24 hour ride, I would think, but could be done with a post-ride nap after 12 hours.
You never did say what bike you plan to use. This will definitely be a factor.
I don't think reading up on the Iron Butt rally will have much use to you, and your intended trip, unless you wanted to turn your trip into a personal endurance run rather than sightseeing.
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