That all depends if the school is a recipient or not, and/or if the school is run by what is qualified as a religious entity, and if the school is run on private property or public for Title II.
Largely you'd approach it as you would college. Subpart D of Section 504 covers primary and secondary education, Subpart E covers postsecondary education. The main differences between D & E are FAPE, IDEA, and "mandatory ages", institutional difference. A recipient is still a recipient even if they bill themselves as a private school, even if the properties are private. Aside from FA pretty much any special needs covered by FAPE might be harder to get unless state law specifies how FAPE follows the student or administers its responsibilities.
Nerding out on regs even further... the more exempt a school is the less protection you get. In my previous post I used the term
religious entity specifying that it was not a
recipient and it runs its own private school on its own private property. Last I checked on ADA.gov that was
completely exempt from even public accommodations that are subject to Title III, which independent
secular schools that are also not
recipients but operate their own private schools on their own private property are subject to.
Example: Current school for us completely independent secular school. Not 504 eligible, not protected by Title II, but protected by under Title III. Next school is completely independent school run by religious entity. No protections.
Click if you like governmentese! The relevant part on schools operated by religious entities is bolded.
Americans with Disabilities Act
ADA Title III Technical Assistance Manual
Covering Public Accommodations and Commercial Facilities
III-1.5000 Religious entities. Religious entities are exempt from the requirements of title III of the ADA. A religious entity, however, would be subject to the employment obligations of title I if it has enough employees to meet the requirements for coverage.
III-1.5100 Definition. A religious entity is a religious organization or an entity controlled by a religious organization, including a place of worship.
If an organization has a lay board, is it automatically ineligible for the religious exemption? No. The exemption is intended to have broad application. For example, a parochial school that teaches religious doctrine and is sponsored by a religious order could be exempt, even if it has a lay board.
III-1.5200 Scope of exemption. The exemption covers all of the activities of a religious entity, whether religious or secular.
ILLUSTRATION: A religious congregation operates a day care center and a private elementary school for members and nonmembers alike. Even though the congregation is operating facilities that would otherwise be places of public accommodation, its operations are exempt from title III requirements.
What if the congregation rents to a private day care center or elementary school? Is the tenant organization also exempt? The private entity that rents the congregation's facilities to operate a place of public accommodation is not exempt, unless it is also a religious entity. If it is not a religious entity, then its activities would be covered by title III. The congregation, however, would remain exempt, even if its tenant is covered. That is, the obligations of a landlord for a place of public accommodation do not apply if the landlord is a religious entity.
If a nonreligious entity operates a community theater or other place of public accommodation in donated space on the congregation's premises, is the nonreligious entity covered by title III? No. A nonreligious entity running a place of public accommodation in space donated by a religious entity is exempt from title III's requirements. The nonreligious tenant entity is subject to title III only if a lease exists under which rent or other consideration is paid.