Has anyone tried applying the "Lap Of" rules in the "Lap of Tennessee" rules page in creating a "Lap Of" route for Arizona? Notice, you do not have to finish in the same city where you started. This could possibly also apply to Montana, Nevada, New Mexico, Oregon, Utah, and Wyoming.
Thus the semantics issue...
The four 'corner' locations to easily access fuel 24 hours a day are San Luis, Douglas, Red Mesa and MM27, which is closest to White Hills. Google
rough map for discussion - note that Hannagan Meadow and Safford are waypoints, otherwise, Google WILL route you into New Mexico.
https://goo.gl/maps/5u4xUe7DQUSbgEBA7
Going back to the starting point gives a 26 hour, 1582 mile ride. The delta between what
@Brian Thorn posted above and this really doesn't get you significantly closer to making a full 'ride around' of the state.
https://goo.gl/maps/XaUDRB3jwMiST5JDA
The eastern edge of that route is 500 miles, of which 90 miles or so between Clifton and Alpine is the fun & twisty part of that highway.
Back to Brian's map...from Page, you can back-track and get to either Fredonia or all the way to Colorado City. There looks to be a single fuel stop in Colorado City, and that's 142 miles one-way from Page. There's always the Jacob Lake stop for fuel, and no fuel @ Bitter Springs, which you pass thru to get back onto US-89, which is where
@Russ Black mileage comes from, I suspect.
So, 2000 miles divided by ~43MPH is 46.5 riding hours. Rough in another 8.5 hours for non-moving activities (make the math easy...) and that's 55 hours. The simple fact of back-tracking to account as much as possible for that north-western edge makes that ~280 miles something of a "Why bother?" part of the ride.