To be honest, it's unlikely you'd get into a top grad school out of Westwood. Not only is it not regionally accredited, which you do note, but it's also not considered particularly strong, academically.
However, if you do end up with very high GRE/GMAT scores, you may be able to get into a reputable graduate school somewhere. Maybe not the tops in its field, but solid, and reputable. For example, Simmons College in Boston every year accepts a few women into their MBA program who actually lack undergrad degrees; they likely wouldn't have a problem with Westwood, if your GMAT was good (and you were female.)
But you know what? Re: even the top level programs, exceptions to rules are made very occasionally. If you really do rock that GMAT, and if your work history is extremely strong, and you have an interesting story to tell, I'd actually have you contact someone at the very strong programs you're interested in: someone in admissions, for MBA schools, and the professor you'd most like to have as your mentor/advisor, for other masters degrees (those that require the GRE). Talk to them directly. Sell yourself. See what they say. Because I saw a man admitted directly into a PhD program at an elite university without an undergraduate degree of any sort, because he was so promising, and because he had a very unusual background. He's now the foremost scholar in his field. So it can happen. It just doesn't happen very often. Don't count on it. Have a backup plan.