I think the key is to talk to students and alums to get the "hidden" culture of those schools. For example, I bet you rhyme can tell you a lot about GSB and Kellogg that's very different from other schools, and what they look for in a student. Actually, if rhyme does answer this thread or PM you, could you share what he says? I'm still trying to learn more about Chicago and Kellogg myself
But I've found by talking to Stanford and Haas students and alums, just a few 30-60 minute conversations have given me MORE than I can fit into my essays on why I want to go there. I believe I can easily ask the recommenders to focus on things that they care about now. UCLA I'm still working on, but I think that's the way to go. The people who are at the school will know the best!
Just taking a shot, but MIT will probably focus more on the intensive quant abilities and see how hard working you are. If you can have your recs focus on that, it should fit MIT well.