Mihalis’ place is a perfect quiet spot to be in Amorgos, with your a deck right in front of your room facing the sea. At night, you’d be able to see the milky ways and the stars since there’s not much lights around.
It’s in the secluded part of the island so while you have the privacy, you’d need to drive south to Chora or up north to Aegilis, Langada and Tholaria for food/drink/supply.