I honestly would research career post phd/Masters. I am currently working and applying to go back to school. Jobs in Engineering are relatively easy to find. Jobs that you will find passion and would love to go everyday are hard and depend on your perspective. I left a very large biomedical company, Medtronic, and I have transfer out of Biomedical Engineering program at University of Minnesota because I dont like biomedical at all. I find to be a find so regulated and with so much paper work because everything you do must be approved and follow FDA guidelines. You can do research in biomedical, but eventually you will end up in a biomedical company or stay in a university as a research fellow. I believe that chemical engineering allows you more options and different paths. And surely, you can do biomedical research as a chemical engineer. Chem eng allows you more flexibility. For that reason that I am going back to school in Mechanical Eng.