The one I was most recently in I went direct to partial (no inpatient treatment) and was able to pick the one I went to. I was out of touch with my therapist and pdoc (home, not working, no phone) so I was referred to partial directly from the state's mental health program after they received a call from concerned friends.

My first partial program did continue at the same hospital at which I was an inpatient. I was transferred into another program after my insurance ran out. They actual "ended partial" and I had to find a personal therapist to follow up with... I got a therapist from the phone book and on my first visit he said "you need to be in a partial program" (duh, yea!) and so was referred into a different one than I had started at.

Obviously both are special circumstances, not the same as requesting a different program as my personal choice, but it seems it would be worth asking someone... if you have anyone treating you that is associated with a different hospital maybe they can refer you in there, or at worst talk to your current doc and tell them the problems you are having. I doubt the insurance company would be any help, but they shouldn't want to be paying for something that is not effective... i.e. that is going to require further treatment afterward... so maybe if you found a doctor or someone agreeable they could convince the insurance co that you need a different type of treatment offered by a different program.