I think it will be impossible to replace all the calories used each day on a tour lasting weeks, especially on hot days, climbing days, and tough days when you are fighting head wind. Weight loss, and muscle loss is gonna happen. I asked this question because I wanted to ride to NY from CA.
I now now think planned rest days are mandatory to replenish calories and to avoid fatigue, rather than go every day until you bonk and your body just quits.