Breaking into Wall Street from a lower tier undergrad school

I'm currently an Electrical engineering sophomore at an up-and-coming tier-3 uni. My GPA's a 3.8 (I think I can get it higher), I have research lined up for me starting next semester, and my current goal is to get into a top-10 graduate school in Electrical Engineering (preferably MIT/Stanford/Berkeley). My college's CS/ECE department does send a few people every year to these institutions, so I think I have a decent shot. However, I've recently been intrigued by a possible career on Wall Street, and I've been thinking of ways to break in. Currently, here's what I plan on doing:
1: Keep doing research, try to get internship experience, maintain high gpa
2: Apply to ECE graduate schools (masters) at targets (Columbia, Stanford, MIT, Berkeley, Princeton, Harvard, Northwestern, Cornell, Duke, Carnegie Mellon and NYU). I'll put a preference on the schools near NY.
3: Network my way while inside a target school and try to get internship experiences, and attend every single recruiting fair.

Because I'm a minority that qualifies for fellowships, I don't have to work during graduate school and will probably get fully covered. I can therefore spend more time networking and attending recruitment fairs. Does this plan seem solid? Do Wall Street recruiters take in people that are in graduate school? Is my current choice of uni going to make this less likely? I have horrendous high school grades/SATs, so that's probably going to hurt me. I think this plan is much better than my original plan, which was to crash Georgetown University's career fair and try to talk to their recruiters while not even being a student there.