Wow. I do cold showers too, but never before bed. It'd wake me up!
But what really seems to kick one off to dreamland is not drying your hair, instead putting a towel down on your pillow. As your hair dries, you'll get some more evaporative cooling strictly for your head, and that helps even more
Extremities should be warm, the core(CBT)—cold, to fall asleep easier.