I hunt Mule deer & Whitetail deer every year in my home state of Montana. After many, many, many, years of hunting deer & elk. I have come to the conclusion that it does not matter when you hunt. The deer will be there at the start of the season just like they are at the end of the season. They will be smarter at the end of season. Just keep a positive attitude and hold out for a big one.
Good luck,