Lyn, I don't know the entire situation there, but when we have a localized problem the game comm. can authorize special hunt zones and even specify the weapons to be used to increase safety. This can effectively cull local populations without cutting into local budgets.
If the pop. is the right size there should be enough browse for deer, even if it snows. We have a small herd of 5-6 in the local woods, there should be adequate food there but they are opportunist and will raid feeders if not encouraged not to. While cleaning out a feeder they do what they do, they browse our plants. So to discourage their being in the yard we put a deer feeder near the woods, use the milogranite, and I've also been adding hot sauce to the bird feeders.