I think you are vastly underestimating the difference in daytime draw vs nighttime. To go to your Arizona example, I chose a random week from last July, and according to the
Energy Information Administration, daytime peak demand in Arizona hit about 6-7 GWHrs and nighttime demand went down to 3.5 GWhrs. You are also forgetting that people aren't cooking, cleaning, or doing laundry during the middle of the night, and this all adds up. Additionally, most businesses aren't running at night which is a huge power-draw.