I don't believe the local school system has to pay for whatever the psychologist they referred you to recommends. They may pay, but they wouldn't necessarily be bound by the recommendation. His report and recommendation are only one thing the school (IEP team, I assume) has to consider.
The school is only obligated to provide suitable/appropriate accommodations and certain services to enable a child to learn. They are not obligated to provide the best. So, that a professional says that the child would do best in a certain setting doesn't mean that is the only way they can receive suitable/appropriate accommodations and services. So, don't ask for the best -- just for what is appropriate.
I always wonder about any evaluation that comes out "3 points away" from any recommendation or conclusion, especially one involving mind processes. While I know there has to be a point of distinction, I think professional experience and judgment has to be used, not just a numeric scale. Of course, the school may want a quantified report to support some recommendation on which they are to act, but a couple of points one way or the other doesn't seem so critical - unless perhaps if the scale is 1 - 10.