re: homeschooling:
I don't know of anyone personally I could put you in touch with, but the ex-gov. of the State of Maine did just that when his last term was up. He bought and RV, took the whole family on the road for a year, had a web page for anyone to follow along, and homeschooled the kids along the way. Of course, no amount of schooling can do it, like teaching history at the very place it took place. Also, mathematics can be taught with the kids (at appropriate ages) figuring gas comsumption and miles traveled. Science can be taught while investigating the forests for plant life and critters for animal/bug life. Also the deserts are just full of fascinating rock formations and the local libraries are usually full of stuff that tells you why they came about. UT and several other states abound in dinosaur digs, and there are several museums there that bring it very much to light and understanding for all ages. Many have hands-on exhibits.
I could go on, but you will have to do some homework before you embark. You will have to have a conference with teachers/principals to exchange information on what they expect of you while on the road. There will be a certain curriculum to follow to qualify the students for advancements to the next grade. I don't know a lot about that, but you can certainly find out quick enough. Good luck and have a great time...... Daisy