Wow. I had no idea this issue is so widespread. Thank you all for your responses and advice.
Just to clarify, this is about camping, etc. I have never done a credit-card tour, but usually once a week would hotel it to get a break from the routine, do laundry, etc.
I have some pretty good camping gear, and to my surprise, my ultra-light Thermarest is probably the most comfortable pad I have slept on.
My sleep issues aren't limited to touring, but I really want to do something this summer and the main problem I foresee is that lack of sleep at night is making me tired and weak during the day, already, before I add touring/camping to the mix.