This is a question that gets asked a lot and depending upon who you speak with will determine the answer to this question. Personally, I've read plenty of articles which state it is not worth going into large amounts of debt just so you can put a high profile name on your resume. On the other hand, some believe the network you will develop while at school is worth every penny.
In my opinion, taking on the extra debt is not worth it. You can get a quality and affordable education at a public university. Also, at the end of the day it's less about the name of the school on the resume and more about what you have done since graduating.