Both my (retired) in-laws were faculty at CMU. FIL chaired a department for many years. CMU has made vast improvements in its programs in the decades since I first became related to this family and now has a very solid reputation. My SIL pursued an MBA at Central and is now CIO for one of the largest counties in the country. Many here post similar anecdotes from other non-U-M universities. I believe engaged students can get where they want to go from just about any school. CMU will do the job just fine for the OP if s/he stays on the pre-med course. If money were no issue, I would say that U-M is the better choice for breadth of programs if the OP changes course, but money is an issue, so CMU seems a no-brainer to me.