Do you think I need inpatient/residential treatment for my eating disorder?

Although I am 20 years old (an adult), I am pretty much being forced into residential treatment. I have been in outpatient therapy for a few months, but I have not really gained any weight. However, I am eating over twice the amount that I used to before seeking treatment and am basically following my meal plan. I probably eat around 1600-1800 calories a day. Admittedly, my bmi is pretty low--15.3. I have been working to gain weight, though, and have been willing to increase my meal plan. My outpatient team is still insisting on inpatient or residential treatment though, and my parents are strongly recommending it. I know it is ultimately my decision, but in reality, it really isn't. I can't disappoint my parents and I can't have my outpatient team fall away, which I believe they would do if I refused residential treatment. Do you think it is fair that I have to go, considering that I am eating and willing to eat more? And, do you know of any residential (non-institutional) and reasonably priced programs?