I just sent a reply to a similar thread. I will copy it below if it is of help.
The bottom line is that a combined education in Biomedical Engineering and Medicine is necessary to further the advancement of medical care. As we live longer we will depend more and more on technology to maintain our maximum functional capacity.
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I am a Michigan State University Family Practice Residency Program Director, and would be happy to advise in more detail off line. I will suggest that you complete your masters in Biomedical engineering first prior to Medical School. Once you have completed medical school and residency you will be too busy to go back to engineering. Your student loans will need to be paid, and this will quickly change your mind regarding a second education. Your undergrad choice of classes need careful consideration to balance engineering prerequisites and premed.
My daughter has the same interest as you, but she has one more year to consider the choices. I can contact you if you wish or you are welcome to call me at the hospital at 810-606-5983. Hope this helps, Ken