The daily temperature differences in high and dry places like Colorado's San Luis Valley can swing quite a bit in just 24 hour one summer in the town of Alamosa this happened
August 24, 2002: Record high of 85°, record low of 33° (52° range)
August 25, 2002: Record high of 87°, record low of 30° (57°)
August 26, 2002: Record high of 88°, record low of 31° (57°)
[stats from weather underground]
Back of the envelope gives me the range of boiling point of water to dry ice as possible highs and lows. There also would be a crazy wind blowing from the cold side to the hot as convection currents would be far stronger than earth's. This would damp down the temperature range by a bit by trading it for freezing super hurricanes.
It would be a great place for freeze drying meat.