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Your proposed route is the shortest possible, but it is still just over 2800 miles. To cover it in 3 days would require over 900 miles a day. In a word, impossible. Even to make it in 4 days would require driving 700 miles a day, and while you might be able to keep up such a pace for a couple of days, by the third and fourth days you would be a highway hypnotized zombie. That's why such marathon drives are illegal for long haul truckers. You need to find more time in order to make this trip safely.

AZBuck