...in what proximity would you have to be to the sun and how fast would you have to be spinning (like a rotisserie chicken) so that your light side didn't burn and your dark side didn't freeze; rotating just enough to keep a relatively stable temperature?
Absolutely absurd, I know but this question somehow popped into my head and won't leave. ๐๐๐ฅ๐ง
Outside of all the assumptions to make this work, the real issue is that the "dark side" doesn't cool you like you're thinking. Getting rid of heat in space is actually a hard problem to solve as a vacuum is a great insulator. Heat has to be radiated away, and that takes time and lots of surface area.