Personally, I think you have a great idea! Nowdays you definitely can work and travel with your job. We know many full-timers who are doing just that. There are many great blogs out there of young folks working on the road with their computers.
I think you should look into a small Class C motorhome - approx. 26' would be ideal for one person. You already have the car and Class C's sell easily. If you have the funds to switch around vehicles to a truck, then a 5th wheel would be a good choice.
Best of luck to you and I think you'd really enjoy it!