Here in South Central Michigan, we have unlimited doe permits for private land. I still never shoot more then my family needs. A buck only falls if he is wonded (hunter or car) or fully mature. Just to many does to be shooting young bucks.
I would defintely still hunt if there was a large die off. However, I would be more selective in the deer I go after. Many times I have raised my gun, cocked the hammer and said "your dead" under my breath. Then simply let the deer walk away. After you pull the trigger teh work starts. Plus it allows me to practice my moves to get in shooting position. I simply like being in the woods even if I do not pull the trigger and hunting at least gives me an excuse to get outside.