Deer definately react to pressure in those zones by going to places people can't hunt them. However, please note that our Fish and Wildlife division is heavily influenced by insurance companies to keep the deer population to almost nothing. They do not manage for hunters and quality hunting.
Drive around other states like NY, PA, CT and almost anywhere south of here and you'll see deer just driving around. In my area, I rarely if ever see a deer in a field or on the roadway.
We have a pretty low deer population and quality in MA in the Central/Western part of the state, and realistically should have zero doe permits given out. But the state wants quality low and deer numbers low.....so they give out permits to maintain that even though the hunting generally sucks here unless you put in gobs of time and effort. The hunters that do well out here are experienced, retired and have time, and generally take their bucks with a gun 90% of the time. A lot of time during pushes with lots of people. Even then, those same hunters are not shooting a quality buck every year........they shoot one once every 5 years maybe with a huge effort in time and patience. I know guys that go out every day around here and do not shoot deer.
In the eastern part of the state, there will be honey holes, and since there is a fair amount of unhuntable land in some towns the sanctuary that provides will provide decent hunting if you can access it. However, realize, when you start banging away heavy at does, that one deer you take out, just took out 3 for next years herd. It doesn't take long to decimate a honey hole if there isn't quality sancturary around it.