Chem E including biochem E has very little to do with biomedical engineering, fields that cross over easier are ME (biomechanics), materials (biomaterials), electrical (instrumentation, electrical implants), and even comp sci (software related to engineering). If you have a specific interest in one of these. you could pick biomedical engineering classes as electives and still graduate with a traditional degree.
Chem E often concerns process engineering or making of chemical or biochemical products. So, ChemEs can make pharmaceuticals or green fuels and such, but not really protheses.
I think discounting BME if you are interested in it, merely due to current job trends (and I am guessing low oil prices will make ChemE volitile like PetroE based on the mid 80s job market), is a bad idea. 50% of people not going into industry means there are less people going into the job market. If you want to work for a medical equipment company, the BME would help, if you want to work for Ford or Boeing, it seems a bit crazy.
BME seems to lead to graduate study more than most engineering degrees, so depending on whether you find that good or impossible, that may make your decision.
Where do you go ? Each school is really different in terms of ease of minors or double majors or electives from various engineering disciplines.
The 3.0 rule is an urban legend. Not to pick on umcoe16 too much, but his opinions are not really consensus for the most part, probably a student. I would assume his UMich comments are very valid.
Why do you need a 3.6 ? That is pretty high for engineering.