The main point I was getting to in the above post is that I think your first priority has to be your career, not paying off debt. You need to focus on doing an excellent job at work and at meeting people who can help you get your next job. That means making sure you look professional, can afford to socialize a bit and don't live so far away that you can't take part in the law/social scene in DC.
Do you mean for professional networking towards a job or social networking? … I have a good amount of professional attire if you mean the former, and I’m a guy so I really don’t care about being “trendy” for social events with people I socialize with. I’d rather not socialize with people who care about what I’m wearing (not saying I’m completely unconscious of it, but I don’t associate with stuck-up people)
It is great if you have all the clothes you need for work. I would recommend having at least one good weekend outfit - though I have no idea what lawyers wear as casual wear in DC in the summer - so you can socialize. You don't have to make best friends with these people, you need to meet people who can help you in your career. Who cares if these people are "stuck-up" - I think you should consider to look at changing your attitude about people a bit. The main thing is people who can help you adjust to living in the city so you aren't alone, and people who can help you in your career.
After you are secure in your job, start worrying about getting a second job and putting a huge amount of money on your loans. If you don't get the next job after clerking, you will be SOL - so the next job is an essential focus.
The second point was that if you are going into a city not knowing anyone - you need to make some contacts. I do think that people meet each other from this forum - people post about meeting at ASW and at law school. If you are so concerned about anonymity, you should look around the threads, find people who live in DC and PM people who seem like you might get along with them. There have been several people already in this thread who have posted you specific local information, maybe see if any of them would like to get together.
If you are opposed to meeting people from here, then look up DC bar events. I am not familiar with them, but I know the Association of the Bar of the City of New York has many summer events, so I would assume DC has similar events.
In short, instead of primarily focusing on living as cheaply as possible and getting a second job to repay your loans (though I am 100% in favor of this as a concept) focus first on your career. Get your career going, get familiar with the city where you are living and make as many contacts there as you can - then worry about maxing out your loan payments.