I can't imagine it would be worth it to move for an adjunct position, and I've never known anyone who has.
I did last year - sublet my place in Universityville, and rented a room in Teachingtown. It was good teaching experience and I got to bank a little cash.
It really depends on your situation, how mobile you are, and how much work you are offered at the Far Away University.
I'm crafting cold-call letters right now for adjunct gigs at various places, some of which are halfway across the country. Most of the universities in my area save their part time positions for their own grad students, so I'm fairly certain I won't be able to make a liveable wage here. Undergrad colleges, though, don't have their own grad students. Enter Grassy.