So, we need some details
-
as above, size/type of school, geographic preferences, cost limitations, etc
-
do you want to come out with the ability to be a software engineer or is that not a concern and you are happy with data science?
For data science you have 2-3 different ways to do it. (a) Traditional CS degree with focus on machine learning/AI, (b) a BS in data science, (c) some schools with less typical degrees that cover data science like info science, stats/econ or something else
Like social data analytics. Note that health data analytics / health data science / health informatics are almost always a Masters degree. But you can take electives.
However if you want crossover with health sciences, you may want to spend more time down in the data and using the data science versus learning how to build it. Hard to tell from what you have written. You certainly can do CS plus health sciences but you can also do DS plus health sciences. Just depends what kind of skills/job you want and how you want to spend your time.
The pro of the CS degree is stronger coding / algorithm skills and the potential to get SWE jobs and the downside is that you will have to take courses you may not care about like operating systems, certain Languages, etc
A BS in Data Science will likely include more analysis of data but focus only on scripting languages like Python and R. You will almost never get a pure software engineering jobs with a data science degree. Though you could be coding ML/AI.
Both will get into ML/AI coursework but you may get deeper “into the weeds” with the CS degree which makes sense for NLP engineer, MLOps Engineer, and AI engineer jobs. However, you can probably go any path and take electives to get you close to the other path (for example, I did an MS in Applied Stats but took all my electives in CS to build DS/ML competency).