Hello,
Choosing Data Science after Biomedical Science is not a terrible idea, and your background will prove beneficial! Of course Data Science implies a great deal of computer science but your background in scientific research and analysis should be more than enough to get started.
You’re right; there are generally two paths forward: by enrolling in a Master’s program in Data Science or its equivalent or utilizing advance online courses and certifications.
A master’s program will deliver a clear schedule of study and further education in theory that will be beneficial if you are looking forward to positions in research or the specific areas of a field of expertise.
But with concerns to do with your hands-on experience and practicalities then online courses such as those offered in boot camps are ideal if you are looking for entry level positions.
As you already have biology background, you may want to think about statistical programming languages SUCH AS PYTHON OR R as these are common in biomedical science as well as DATA SCIENCE. As for the actual programming, a few basic courses in machine learning and data visualization should suffice to fill any gaps in one’s programming knowledge as well.
Good luck on your transition into the Data Science – it really is a rather promising field especially for an individual with your diverse educational background.