If you don't have food in the coop, do you all have covered runs outside? We keep the feeder in the coop (there's room for it) in case of rain or bad weather. We don't want to risk mold in the feed or just wasting it.
The waterer is out in the run (we don't want extra moisture in the coop itself.
Or do you take the feed in from the run if it rains?
But even if they don't eat overnight, we keep it inside just to protect the feed. We've not had any evidence at all of rodents, in or out of the coop, other than a mole in the yard that I'm happy for the hens to get while they free range a couple hours a day.
We don't get out to let them out of the coop early enough for a daybreak breakfast. So I guess at least they can eat as early as they want to.
Thanks to everyone on these forums. I have not posted much, but I've learned so much since we started our chicken adventure in March. In fact, it was a lot of the information on this site that made us realize we could do this!