As a chronic night waker (nothing to do with bc or treatment), I have found the following:
The classic advice (bed for sleep/sex, get up rather than stay in bed reading or watching TV) could have you spending a lot of nighttime up and awake!!
No devices! Occupies your mind and the blue light isn't apparently helping either.
Things that distract you from active thinking can help - sudoku works for me (concentrates the mind fully on something other than health/work/family issues) but reading might too - just not thrillers or something too engaging!
Enjoy the quiet! Relaxing is almost as good as sleeping and makes sleep more likely.
Camomile tea, milk (hot or cold), valerian, all can aid relaxation.
Good luck!