I got the job through networking, kinda. A family friend put me in touch with one of his friends who gave me the CEO's contact info. The CEO did a screener with me, then flew me to the company's headquarters for an interview.
I went through a series of four interviews. One of which, they sat me around 6 different execs and rapid fire questions at me for an hour, it was a lot like giving a long an oral argument. The questions ranged from "Can you shoot a gun?" to "You have 60 days to raise a million dollars in revenue, how do you go about doing it?" I didn't even really know what they did exactly, so I just fell back to law school and said, "Start researching." They were also impressed that I had researched everyone of them and knew background info. Like the CIO has PhD and LLM from Columbia and had a high level position at the UN. So, when he said, "Do you have questions for me?" I asked him about NY and what he did at the UN. Apparently the other candidates didn't do that type of research - again law school coming into play.
Sorry, if that's not helpful. However, I think there is a lesson there. If you want a job like this, you're going to have to go outside the box. These types of jobs don't appear on Symplicity or your school's weekly job posting emails. You're going to have to contact people you know (and your relatives), and you're going to have to network. I had more success getting interviews from people I met in person than I did from postings. Those postings are useless because every law student in a 100 mile radius applies. There isn't a way to differentiate yourself. I applied to like 300 job postings during my second semester 2L and first semester 3L. My success rate was 5% or lower.
I don't know how desperate you are, but I have one last piece of advice. Go to AA meetings even if you're not a boozer. AA meetings are filled with high ranking executives and attorneys. You'd have to craft some sort of semi-truthful story as to why you're there (ie. my father/brother/sister is an alcoholic and I'm here to learn), but you'd be surprised the type of person that goes (go to ones in a good neighborhood). It's an open atmosphere where no one is going to judge you, unlike ABA meetings. I know it sounds crazy, though.