You'll be able to find some bucks that have shed late January but i would wait till late February or early March to really start shed hunting. Usually when we go shed hunting in early Feb we wont find much and the driver around before dark and see multiple bucks with both sides.
Ive used this light for a couple years and really like. I personally believe that using a green light does help. I will say green is better than red but not as bright at white.
I hunt West Virginia and Ohio and in wv the first 3 days or so of gun season is crazy but during bow season I might see a couple if its a really nice day on the weekend. Ohio is a different story though as soon as november hits and seems like every parking lot has a few trucks.
Just make sure to stay patient. Just because a tom shuts up doesnt mean he's lost interest, in my short span of hunting turkeys I deffinetly would have a couple more if I would have stayed put.
I recently got stationed at kirtland afb near Albuquerque and I'm curious what some people's opinion of the limited entry turkey tags vs the regular otc.