I have to say, I was hopeful up until he mentioned the hunger bit. The delayed sleep phase disorder sounds exactly like me, and I already eat a strict low carb diet, but that fact means that I'm never really hungry. In fact, I believe many people who eat low carb experience the same reprieve from the constant cycle of hungry-satiated-hungry as their blood sugar and energy levels remain constant.
Maybe it's just because I'm not a breakfast eater. Oh well!