Thank you, everyone, for your responses. I really appreciate it. I live in a metro area where it is very difficult for new grads, especially ADN's like myself, to find work. There are lots of colleges and the hospitals have their pick. If I do not do the internship, chances are I would have to wait a few years, probably until I have a BSN, if I want to work in a hospital. However I should be able to secure a job with LTC or maybe home care even though even some of them are also requiring experience.
HouTx you're right on about my family's unrealistic expectations. No matter how I try to tell them what it's really like, they keep saying when I'm a nurse, the "doors will be wide open" and I could "work anywhere I want." Ha! They definitely wouldn't be happy if I worked for free for three extra months, but oh well. I just wish the program wasn't so long, or wasn't so many hours. Even if it were 20 hours a week, I could totally work PRN elsewhere, but they don't want you to have that option.
I think now the best action would be to talk to some of my professors. They have seen many classes graduate and would know better than anyone. Also, I could just apply to the program and apply for jobs, too. See which comes through. For all I know, it may take 3 months to find a job anyway.