I have had my oats survive many freezes, it will depend on how long and severe the cold is. Wheat can handle cold for a longer period as well.
Depending on where you are and type of land, you may be able to give Alfalfa a shot, I had a 5-6 acre plot in Erath county for nearly 5 years. It got thinner each year, but you couldn't run the deer out after they got used to it.
My post was not about the oats freezing but the rest of the green forbes and browse that are out there to concentrate the deer to the oats and then his corn. Only two food sources it better than whole country side.