Not sure where you're hearing Westwood isn't accredited. It is true that their curriculum credits don't transfer, but that's true of most specific curriculum. They do accept credit transfers from other schools though, for example if you wanted to do your general courses somewhere local to save on cost.
I know I probably seem like an advocate for Westwood. I admit there are problems with their system. But to the best of my knowledge, accreditation isn't one of them.
Edit: To ease your fears. http://www.westwood.edu/about/accreditation.asp