This is all I can find in the Michigan Regulations:
It is unlawful to:
Hunt or pursue wild animals or birds from a car, snowmobile, aircraft, drone, motorboat, personal water craft, ORV, or other motorized vehicle, or by a sailboat.
By that definition, what I originally proposed should be completely legal. I am not planning on purchasing a drone. If I was though, before I laid down my cold hard cash, I'd email the CO in my area and get his take on it. If he didn't see any issues with it, I'd save the email (just in case) and go for it.
Maybe the FAA has some regulations that might apply and that would have to be check out first as well.