Ntang, it really depends on your situation. I don't know how much money you make, but you might get preferential treatment for institutional loan programs funded by the business schools themselves, which are a WAY better deal than the Federal Stafford and PLUS programs. These are typically awarded based on financial need. For instance, Tuck has a 5% loan program based on financial need.
Spreading around your savings account or socking away extra money in IRAs 401(k)s might not make a difference. At schools like Columbia, your retirement savings ARE considered to be available for financing your MBA. The fact that you're from a non-profit background might make you eligible for some sort of fellowship funding restricted to applicants from atypical backgrounds such as yourself.
Hence, your "financial disadvantage" would most likely result is some kind of financial advantage when it came to funding your MBA education.