If you're looking for breadth and entrepreneurship, I recommend University of Wisconsin - Madison's Biomedical Engineering (BME) program (or similar). I'll be graduating from the program in December. It is also relatively prestigious as it's the only engineering major on campus with a formal application process, and engineering majors on campus are already the hardest.
It doesn't prepare you for industry well (because of it's broad focus) but it really allows you to explore many different engineering fields, perfect for entrepreneurship imho. Although there might be curriculum reform in the future to fix the "unpreparedness" for industry, but change comes slow in Universities.
The program requires you to take introductory classes in biomechanics, bioinstrumentation, biomaterials... and probably a couple more I'm forgetting. In the end, you choose one of these "tracks" and your degree basically turns into one of the other engineering degrees with some bio tacked on, less depth, and more breadth.
One of the other great things about the BME program is that we're required to do a design project EVERY semester, which is a really great opportunity and a pain in the ass (you only get 1 credit for it). But it's a great learning experience working in small teams all the time.
The problem with poor reception among the industry for BMEs is that if they want objects built, they'll hire MEs, if they want circuits, the'll hire EEs, etc. There really isn't any good entry level position fitting for a "well rounded" degree like UW's BME. But again, if you're looking for entrepreneurship, you probably don't care for these entry level positions anyway, but just fair warning.
Conclusion: Look into the details of each program at the schools you're looking into. My example is unique to my major at my school, I know BME programs at other schools are very different, and the other engineering programs here at UW are different from BME. Ask current students students and recent grads about the specific programs you're looking into.