What are some classes I can take (not jko/alms) that will make me a better medic?

There are many credentialing opportunities you can pursue through COOL*.

One example is MedCerts*. I'm not recommending these folks since I have no experience, but I've seen them mentioned before. Take it as a starting point that there are many different venues you can explore through COOL.
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* COOL (Credentialing Opportunities On-Line) - https://www.cool.osd.mil/army/index.html
* MedCerts - https://medcerts.com/programs/armyca-approved

If you're looking to be a better provider.... I recommend the "certificate" courses such as PHTLS, TCCC, ITLS, ACLS, etc. Even the "Stop the Bleed" course has beneficial information regarding trauma and hemorrhage control. College courses such as Anatomy and Physiology I & II are good places to start as well. As for positioning yourself for medical school, look at the prerequisites for the institution you plan to attend and start there.
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PHTLS - Pre Hospital Life Support
TCCC - Tactical Combat Casualty Care (USARMY sponsored course)
ITLS - International Trauma Life Support
ACLS - Advanced Cardiac Life Support

The prerequisites for med school vary from one school to another. Unless you know what school you're applying to, it's a moot point. There are post bachelor programs you can do after your bachelor to prepare you for med school.

In the meanwhile, focus on the basics, completing your degree.