Amit,
Check BusinessWeek ratings.Michigan is in top 10 ratings from the last few years. I suggest you to decide between Michigan and Yale. I dont think that CMU is worth the huge investment if you can make it to better univ.
If you get into the desired schools of your choice, you should not think about finance. Do everything possible in this world - go and meet the PM, meet the FM, appeal to a VC or threaten your bank manager, do every sort of good, bad and ugly to get the funding because the cause is great and just.
rgds,