We have Radio 4/ the World Service on all night. Years ago, I used to have the same problem as Katek and so did DH but if I do wake up now I just listen to what's on until I fall asleep again. This plan falls apart if what's on is really gripping but even if I'm awake, listening to a programme seems less draining than just lying in the dark and doesn't leave me as tired next day as getting up, making a cup of tea, doing the ironing, reading and other things I used to try. With Kindle of course, you can read without putting the light on and waking the DH which is what I do if away from the radio.