Your body needs the rest!!! I'd suggest that you look into gentle yoga exercises, and even meditation tapes during this period. I know that it will be difficult, but you will have to sit with the drive you have that pushes you to DO MORE...even when it's not healthy for you. Some questions that you might ask yourself during this time are:
Why are you so hard on yourself?
What other ways can I feel relaxed other than exercise?
What does my body NEED right now?
It sounds to me like 5-6 weeks of relaxation is just what your body AND mind need!