I had to take all honors classes because of the program I am in (it has many other benefits too...). I do not know what your class is like in your school, but I can tell you about mine... After most exams, people do not cry. You will have to work very hard, but you will also learn a lot. You would also need to be able to deal with academic stress well and be able to do your tests fast. The average usually needs to be low (usually around a C), so profs sometimes make one test that is really hard to reduce the average, so don't freak out if you get a low grade on one test/assignment. I worked hard and did well, and I also get a very "special" H.B.S. degree after my name.
I would not recommend that you take honors orgo unless you love orgo (honors orgo II made me hate orgo fyi), although it might be more interesting because you do a lot of long synthesis questions, so it's kind of like a puzzle; more theory too - not just rote memorization. Also, honors courses require more work, so it might feel weird to have to spend so much more time on one course and not the others if the other courses you're taking are regular.
Instead, if you want to do honors, I would recommend something like anatomy (because dissecting is fun 🙂), or physiology. And med school classes will be more like review (although obviously, you would still learn a lot...).
Also, think about:
-Will being really proficient in orgo help you later? It won't necessarily be useful in med school
-That lab time sucks unless you live on/near campus
-I don't necessarily think one course will be that impressive
-If the prof is not very good, this course might eat your soul (again, honors orgo II made me hate orgo, so I am biased)