I was in similar situation in Oregon. I just google local physicians, and made a list of DOs (by speciality) and cold called them/dropped off letters of interest. Within weeks, I had quite a few call-backs.
I did simiar thing for MDs also, so out of approx 60 letters, I ended up shadowing 4 physicians in different specialities (other than EM).
I was also very clear in my letter about the duration of shadowing I sought, i.e. a day vs actual time investment, and 2 of them permitted me do 60+ hours with them in two weeks they did not have medical students trailing them.