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.

Kudos SGT (Join to see) for wanting to learn more t o bring in better training.
Many states, my state of North Carolina being one of them, offer through their Departments of Emergency Management, free distance AND residential training, for all First Responders, Emergency Responders and Military Members. The residence courses are taught through a local community college. The classes that I am sure you could use if you were in our state are the "Wilderness Search and Rescue Team Leader Course." There are also classes on rope evac, evac with a civilian air crew, etc.
The Team Leader Course is fun and depending on your instructor team quite challenging

You might check and see if the medical academy has a prep school like USMA does. Also, if it requires appointment, be stroking your CONGRESS critter.

Start college now at an institutions who's credits carry over and get through as many of the prerequisites as possible before you go to Med school.

Excellent post SGT Davis. One option that You can do is work at a hospital. This in turn will give You the necessary skills to become a better Medic. Or like Colonel has posted, another good option that has been out for some time would be courses through the COOL program.

Where are you in the med school process? Do you have your undergraduate degree. Have you already taken your MCAT? If you have completed your degree and not taken the MCAT yet then a prep course might be a good start.