From the way you describe your situation it seems that the best solution for you is to attend a community college. They should accept you even if you don't have a GED. All you have to do is just take a
placement test. Just major in medical, keep your grades up above a 3.8 (4.0 would be better

)and you should be fine. To do the transfer as soon as possible complete all the necessary GE classes. Complete your post graduate 1st( bachelor of science) then continue on to grad school.
It's nice that you have a focus on one school but you also have to assume that their is a possibility that they will not accept you. Every college, university, grad school, etc etc has their own philosophy. It is best to have many choices when you file an app. to the school.