Gee, it’s Stanford, I think it’s program will be up to your standards. It’s in Palo Alto, which has much, much better than Boston … but you can still apply to MIT or other schools.
To get comments, I might post in the engineering forum instead of the college generic forum.
No ordinary mortal has these problems … and if you get in no other school, you are truly blessed.
Here are the USNWR for biomedical engineering, which has Stanford tied for #4 with a few other schools.
http://colleges.usnews.rankingsandreviews.com/best-colleges/rankings/engineering-doctorate-biological-biomedical
Spend about an hour exploring Stanfords biomedical engineering program website, including looking at the four year plan, the coursework, the professor’s research interests, etc. Now repeat with all the schools you would still consider applying to. Stanford deserves a lot of attention, for other programs, if the coursework, research interests, focus of the department do not appeal to you, take them off your list (and settle for Stanford).
There can be major differences between Biomedical, Biomedical and Chemical, Biological, whatever engineering. Some is more medical (dealing with human anatomy), some is more biotechnology (dealing with say green energy or biochemical engineering, making biological products in fermenters, etc, or pharmeceuticals), some is medical devices, medical prothesis / biomechanics, computers in medicine, you name it.
The only way to know, unless someone appears from somewhere who has done all this … is to read the websites … and maybe send a few emails with good questions that show you have already read the website (at Stanford, as an accepted student, you can likely get a lot of answers from their people).