You are hosed, man. No way will you make it. The snow is just too deep and the other drivers too crazy. Prepare to meet your maker in a cold snowbank.
Just kidding. Good advice above - rent a 4wd, especially being green in the white stuff. The roads can be sketchy if a storm comes up.
I lived in Saginaw for 2 years and am very familiar with the EM program, residents, and hospital in general. Feel free to PM me if you have specific questions.
C_T