ok - I am going to jump in here - hope you all don't mind a different perspective.
1. Using solely one person's perspective on deer numbers is about equal to asking them what the winning lotto numbers will be.
2. How many acres are we referring to here where the deer populations are hurting?
3. Have there been any camera surveys done? What about natural browse surveys?
Getting a population of deer to increase is easy, you don't shoot deer. You need to kill about 1/2 the doe population per year, per sq mile to keep the population at par. Extrapolate this out, because if one sq mile doesn't have enough harvest and the other sq mile does, you will likely have dispersion into sq mile A.
More than likely you shooting a doe or not isn't going to impact anything. I suspect within a sq mile or two of you, you have someone that has superior habitat and is holding a lot of does - especially in non-bait states.
I will further say, there are very few things harder to do once you get to a point where you need to harvest enough does to shrink a population because of habitat degradation.
Let's also look at low deer numbers, relative to the highest nutrition on the playing field. Often we look at does to fawns and stop our math there. However, does in better quality habitats, have healthier fawns with higher fawn recruitment rates. You also set up your self for fawns to become pregnant the first year due to the quality habitat and reaching maturity (70lbs) so they can enter estrous, allowing the doe/deer numbers to more than 2X in a year. This will also impact bucks and their genetic triggers over a period of years as they are now able to access higher quality food, relative to the population and landscape per animal.
If I was you, I'd probably shoot a doe....