I'm having some course scheduling conflict which I think will negatively affect my college admissions

Ask your counselor if there is another section of calculus or chem you could put on your schedule and if the teacher could just give you the work for the class you want to take. That is how several people at my school have fixed these challenges. If it doesn't work, at least you tried. And you could self-study for those AP tests.

In my opinion, while AP classes are important, if you are looking to have a career in healthcare, sticking with this competitive and more unique healthcare program is the way to go. Colleges, especially the more prestigious colleges, want to see a "spike" in your application - somewhere that you shine. Committing to this program will demonstrate to the college that you are a driven student who knows what you want to do. This hands-on experience will also likely help you more later in life than AP classes and will make your school year much more enjoyable, motivating you to do better in everything else you're working on. Also, being in a better mood is more fun! You could try to self-study some of these APs if you really wanted to, as that would show colleges that you are a self-starter, too.

Go with the program. It will help you stand out in the applicant field, and if it's something you enjoy, it will make your year so much better.

This is a great question. It's a little hard to answer without knowing exactly how competitive this Allied Health Program is. If you're interested in pursuing a career in medicine or in a medicine-adjacent field, this seems like an amazing opportunity, and I probably wouldn't quit it in your final year! There are plenty of ways to communicate to your admissions officers that the reason you weren't able to take more AP courses is because you were in this demanding program. You could have your school guidance counselor explain this in your recommendation letter/school report. You could also explain it yourself in the Additional Information section of the Common App.

If you're worried about your course schedule, you have a few other options. You could self-study and take the AP exams (this looks impressive, but isn't as good as actually having grades in challenging courses factored into your GPA). You could look for a dual enrollment options and try to take equivalent classes at a local community college. Or you could just take other APs if your school offers them.

Of course, if you're not interested in a career in medicine, or if you're just not that into the Allied Health Program, you could definitely drop it to take more APs... But I don't think you necessarily need to.