Sproulman, everything you say about one mile has been long ago disproven. Those studies were done in the "hay days" of lots of doe. It simply is an old wives tale.

There is absolutely no way you could have known, in the past,if a buck left an area and traveled three miles, eveytime he may have done that.
Especially so since deer travel more after dark than in daylight.

To go that far is about 45 minutes effort for a deer. And if he is on the scent of an estrus doe, you might as well figure a lot less than 45 minutes.
On the gun season opener that is well past the peak of the rut when most does have already been bred. If a doe or doe fawn is in heat (which some are) at that time, she is a rare commodity and she is very popular since most of the action is over. Yup a buck would walk three miles for her.