Oh man, what an adventure. A part of me is really enamored with the idea of traveling around with my bare-bones supplies on my bike. I have a good friend that did a bike trip cross country with only her two young children. She said it was an amazing experience, but possibly her most reckless because everywhere she went people seemed to know everything they needed to about her - that she probably didn't know anyone in town, that she had all her important possession on her bike, etc. Of course, you are in a much different position than she was - you can focus more on the adventure.

Happy travels.