In many areas, your best odds of taking a buck are on opening day, simply because there are more bucks around then and there are lots of hunters in the woods to move them.. Also, as soon as the bucks get pressured, they get a lot harder to kill..
If you shoot does opening day, you are reducing your chances of killing a buck...
If you have very limited time to hunt, or are hunting an area where there are not many deer, you may be better off filling your doe permit whenever you get the opportunity..