I would not do an overnight with someone I had not met with a few times prior...that also makes me more likely to offer a huge discount being I know what his tastes are.
Clock free dates or daylight dates, are always better for the guy IMO. Many men pay big money just to sleep and wake up next to a woman, because it may be they miss having that with a wife who has passed or are no longer intimate with. They don't see it as a contest of how many pops they can get, but the feeling they once had with someone they loved.
I would advise you charge what makes you able to do this, without feeling used or shorted. If a guy wants an acrobatic monkey, he will always pay my 3k rate. For guys who TRULY want a gfe and understand what that means, I have been known to knock off 500 to 1k for an overnight...depends on the person and your situation. I have never had a BF refuse to let me sleep lol. In fact, most pass out long before I do.