Just to clarify, the IDEA provides for a "free and appropriate PUBLIC education" (commonly referred to as FAPE). It does not matter whether private schools get money from the state, the federal law says that children with disabilities must be provided education in the public school system.
For the most recent update on how the federal law looks at children with disabilities parentally placed in private schools - go to http://idea.ed.gov/explore/view/p/%2Croot%2Cdynamic%2CQaCorner%2C1%2C. Below is one of the Q&A's on the site:
"The regulations at 34 CFR §300.137(a) explicitly provide that children
with disabilities enrolled in private schools by their parents do not
have an individual right to receive some or all of the special
education and related services they would receive if enrolled in the
public schools. Under the Act, LEAs only have an obligation to provide
parentally-placed private school children with disabilities an
opportunity for equitable participation in the services funded with
Federal Part B dollars that the LEA has determined, after consultation,
to make available to its population of parentally-placed private school
children with disabilities.
The consultation process is
important to ensure the provision of equitable services. Consultation
among the LEA, private school representatives, and parent
representatives must address how the consultation will occur throughout
the school year so that parentally-placed children with disabilities
identified through child find can meaningfully participate in special
education and related services. How, where, and by whom special
education and related services will be provided for parentally-placed
private school children with disabilities is determined during the
consultation process.
Equitable services for a parentally-placed
private school child with disabilities must be provided in accordance
with a services plan. A services plan must describe the specific
special education and related services that will be provided to a
parentally-placed private school child with disabilities designated to
receive services."
Based on this, it is up to your local school district to determine whether your child will receive services (and to what level) in the private school. In many cases, this is driven by the state law (the state's interpretation of the federal IDEA law). It also means that you may be offered services at the public school (i.e. your child can go to private school, but in order to get services, they have to physically go to the public school). My son with OCA attended private school for Kindergarten, and then 3rd through 7th grades (we tried public school for 1st & 2nd grades and then went back to private). I was able to successfully press for services in the private school, primarily because the vision teacher had to drive through the town where he was going to school to reach some of the other public schools in the area (our school district surrounded the town where he was going to school). However, we had to fight for the services, and also had to sacrifice a lot. We only received the services from the TVI and later on from an Orientation and Mobility instructor. He had no assistive technology in the school (beyond one attempt at large print text books, which didn't end up helping much because the color pictures were all shades of gray). His school bought the standardized tests for him to mark directly in the test booklet so that he didn't have to use machine-scored booklets. Since the private school was using national tests (IOWA and COGAT) and the public schools used state tests, we weren't able to get the state to provide these for him.
One thing to keep in mind is no matter whether the district provides services or not, they will not likely provide equipment. The reason for this is that if they install it in the private school, none of the other public school kids can use it (so effectively, it becomes your child's personal tool, as opposed to one available to all children in the public school). So, if your child needs a CCTV, I would be very surprised if the school would 'loan' or install one in the private school. They are also prevented by the IDEA from making environmental modifications to private schools (for example, if there's too much glare, the public school will not put in shades or modify the lighting in the private school).
I agree that you should push hard to get services in the private school. For my son, it was the best place for him - he needed the smaller class sizes, the focus on academics and the assumption that he could achieve (as opposed to when he went to public school where we were told "don't expect much, he's disabled" and he was lumped into the "disabled" box with all the physically and developmentally disabled children). Ultimately, if they refuse to provide services, you will need to decide what is more important for your child and whether they can be successful in a setting where they don't get direct services. . .