May I suggest you investigate a career in some field that works with people with developmental disabilities. There are almost always jobs at group homes, sheltered workshops, supported living, etc...they live all over in just about every community and most bigger cities have at least a few facilities that support them.
I have over 15 years in the field and with any BA or BS you can even be the Director. Of course a MBA or some other higher degree would be nice but not necessary. I have worked as a trainer, job coach, house manager, driver, teacher (in an ICF-MR), activities director, and many other jobs that needed to be done. Many of the workers have no degrees and have a loved one that inspired them to work in this area.
Another option is social services. Some degrees go over state lines, no re-testing and certifying is needed. I believe a MSW is like that, maybe even all "states" of the USA. Even the islands accept it from any University.
There are all kinds of jobs that can go from place to place. What about somewhere that is a nation wide chain, like Sears. They have to have warehouses everywhere with offices that managers and other business people have to be. They need administrative assistants too.
What about child care, if you ever did want to work at home and run a business you would already have the toys and supplies needed as soon as you set up your house, then you could contact the state to get licensed and on their list to start getting kids. It is pretty much easy money, you only have to buy food and if you do the right food program about half of that can be reimbursed. You can even get paid for cooking and cleaning up by some food programs. If you do a large child care home you can even hire staff to assist you. When you move you just give them lots of notice so they can find other facilities. Once you join the local directors/owners organization you can let them know too and find out if they have openings to suggest to the parents.
One of my friends went to art school somewhere, short classes, like Donna Dewberry, and they sign up people to teach that method of painting. I have taken tole painting classes on several occasions from them. They taught the classes through Hobby Lobby. Even crocheting or knitting or sewing. They are all areas that people have lost as a skill and are looking to learn now.
I think there are many options out there that move from state to state. Several of my friends hubby's are with Conoco and they move every 5-8 years on average. They always do stuff like the things I have listed above.