It might be too late for the original poster to get any benefit from what I am about to say, but if anyone is searching this forum with the same question, I hope I can help.
For-profit schools are the ones that are usually seen as "diploma mills." They will accept anyone and aren't backed by a traditional college, but instead were created just for online students. I would look more towards colleges with good reputations and a lot of history that offer online programs.
As for your concern of not wanting to take the GMAT, there are traditional, accredited colleges with online MBA's that don't require a GMAT for admission. (SEE MBA Online with no GRE
www.geteducated.com/expert-advice/online-mbas/91-are-there-good-online-mba-programs-that-dont-require-gmat-or-gre/)
I don't want to scare you, but degrees received from the University of Phoenix or similar for-profit colleges aren't as highly esteemed as those earned from accredited universities. If your main goal is to advance in the business world or enter at a high position, you should really strive for the best education you can get and the degree that will produce respect for you within the industry.