“Am I crazy? Does anyone know people who have done something similar?”
I know someone who learned at Ner Israel for years and recently graduated from the Albert Einstein College of Medicine.
“Touro doesn’t have a medical school”
Touro has at least four medical schools, in California, Nevada, Manhattan, and Westchester County. All are Osteopathic schools except for the one in Westchester County.
My wife didn’t earn her BA until she was 32, and then she had to go back to take pre-med courses. She graduated from medical school at age 40. She was able to arrange for a shomer Shabat residency even though one didn’t officially exist where she was training.
Good luck!