I say do it!
It would be a once in a lifetime experience. All will not be sunshine and butterflies, but it will be how you deal with the tough times, as well as how strangers step up to help out that will stay with you.
You could try to plan some of your adventure around any sceduled meets. Coming out here to Mammoth in the summer, there are TONS of places to camp, and you would be free to use our shower/laundry....
Just a thought.