A surface loses heat through conduction, evaporation, convection, and radiation. If there is no evaporation to carry heat away (wearing a raincoat or windbreaker), the only other ways to get a drop in temperature is by conduction, radiation and/or convection. Using the Peltier effect to transfer heat involves conduction. In your example, radiation would be minimal. Otherwise, your heat loss to below -50C is impossible.
Windchill (popularly wind chill factor) is the lowering of your body temperature due to the passing-flow of lower-temperature air. This is convection. Thermodynamics would preclude reaching -111C. You could not get below -50C.