That depends. If you want a couple days of deer being in their normal late summer routine, you should hunt the first few days of the archery season on field edges. If you prefer hunting rubs or scrapes, get out there around Oct 25 til Nov 10. Both of the above hunting methods are easily hunted because the bucks are somewhat predictable. Now, if you want the bucks scurrying after nearly every doe in the woods with no rhyme or reason as to how they are traveling, hunt the chase phase about a week before peak rut (Nov 15). You're going to see a lot of deer but the trick here is being in the right place.
As for my favorite day/week....it's any time I can get out there.