We are looking to make a 'practice' run this Spring, making a cross country trip for 6-8 weeks. It could very easily lead to a full-time period, depending on how it (and some work items) works out. ...
Shipping laundry or buying new is going to cost waaaaaay more than going to a laundramat. Other than underwear, you can wear clothes more that one time. Rotate them. You don't need a clean bath towel after every shower. You don't need to change sheets so often. Have a good trip!