Avoid debt at any cost. I work in DC. A prestigious degree is not the ticket to success that you expect. Most of the important people I meet do not have prestigious degrees: they served in the army or Peace Corps, or worked for a campaign. Later in their career they earned a master's from some random school.
Does a great degree help? Sure. But find a way to get it for an affordable price, or don't bother. It's better to spend a year or two working and improving your application than committing yourself to decades of debt because you think it'll get you somewhere. I have friends who are drowning in debt. It really negatively affects their quality of life, and limits their career choices. Don't do it.
edit: to answer the question about how to make this happen. I only applied to schools that I knew I could afford (state schools), or which had a reputation for generous funding, or which would allow me to go to school part time while working. Between those I was able to cobble together some good options that would mean graduating without debt.