Is it permissible to sleep in a place where one cannot guarantee that family members will not commit some reprehensible acts after one falls asleep?

The pen is lifted from the sleeper until they awaken. A person is not questioned about the actions of others, but rather about their failure to denounce evil. Since you were asleep, the pen is lifted from you, so you will not be held accountable for any evil they commit while you are asleep, nor are you required to denounce them. However, if you wake up, it becomes permissible for you to advise them.