I'm inclined to agree with Joel. Just to be sure, I would verify your intentions with a competent tax professional to ease your mind.
As I understand your situation, you will be full timing. That implies you will not have a 'sticks & bricks' residence in which you live. You might find that where you pay you state income taxes might not be your most pressing issue.
Vehicle insurance, vehicle registration, personal property insurance (in RV or storage), voter registration, health insurance/health care & a multitude of other issues associated with a domicile, a mailing address and a physical address.
None of these are insurmountable issues, just time consuming.
Then there is the issue of reliable internet connectivity to contend with. I believe most on this forum would advise against depending on RV park provided WiFi as your primary source.