It’s definitely difficult to determine if you want to become a physician without having worked directly in patient care. (It’s also difficult to be admitted to a BS MD/DO program without that experience.)
Some potential opportunities (you have to check education and age requirements in your state) include assistant CNA, assistant EMT, dietary aide. Look for volunteer roles not only in hospitals but also clinics for underprivileged patients, nursing homes, through non-profit healthcare agencies, and the like. You might talk with the people you worked with in your hospital volunteer role to get their ideas.
As for schools, you can take pre-med classes at many colleges and major in just about anything provided you take the courses that med schools require. As I’m sure you know, most BSMD programs have acceptance rates in the low single digits. Also, the vast majority of those in medical school did not attend a BSMD program.
I am curious why you categorized UMD as a possible reach? I would ask your counselor how they would categorize your school.
Do you have any financial constraints?
Consider also LECOM BSDO programs at the various schools they partner with.
If you have only two LoRs (which is plenty) both should not be from math teachers.