It does not matter when these types of both select to get to sleep but given that it's known that you'll need to do that at some point, and things are clearer.
One of the popular hotels is Hotel Pirat; it is just 80 km from Fathiye or 130 km from Dalaman air-ports. https://www.r2iclubforums.com/viewtopic.php?f=34&t=128341&start=0