I interned at XJT in the past and it worked out great because I lived in IAH. I had a blast and learned alot. It helped me get hired quicker and also helped me get my job at NWA.
During my interview at Nwa they specifically had highlighted my internship on my resume. I think it was one more thing that separated me from the pack. They said they liked that I founded the program for my college and it showed that I worked hard for what I wanted.
Bottom line, you would learn alot and can add something else to the resume. If the opportunity arises for an internship at a major then I would take it first but a internship is very helpful also. Plus, Why rush to finish school now while there aren't any jobs right now? Do anything you can to separate yourself from the 1000's of guys with the same qualifications.
Good luck