We homeschool our two daughters. While for us camping is an occasional thing, I love the flexibility to be able to take trips when it's right for us, not when it's convenient for the local school system, and we sometimes "do school" in the car, in a campground, or at family members' homes.
With an online school, I think your biggest challenge is going to be reliable internet access when you're traveling. I'm not an expert in alternatives to home-based cable and DSL, but I know there are some folks here who work full-time from their campers via the internet, so I'm sure they will have some advice for you. Unless you already have that part figured out...
Our girls are enrolled in an accredited homeschool academy with the option of either internet streaming or DVDs for instruction. We chose the latter because even our home internet is slow and unreliable. But it makes it easy to do schoolwork anytime and anywhere we have time and a charged laptop. We were at Lost Dutchman State Park back in February to spend a few days with my mother visiting in her Class B motorhome. In our 13' Scamp
, the girls were set up for school at the dinette table and my wife and I were at opposite ends of the front sofa doing work on our own laptops. The previous spring we camped near Tucson and our agenda included science-related outings to the Sonoran Desert Museum and Kitt Peak Observatory.
It's not without challenges. Distractions abound! Some can become learning opportunities, but you'll have to set some boundaries. We take shorter trips, so we usually do half-days of school when we're traveling and catch up when we get home. But for longer-term travel, you'll have to figure out how to keep up.
Best wishes in your adventure!