I would pick a name that does not include the diagnosis. Some generic sounding private school name, like "Springhill Academy" or something like that.
If your students will be attending college or joining the workforce, there's no need to put their diagnosis in the name of their school. That transcript will follow them everywhere.
In my area, there are a few autism schools and none of the names address autism....but, we know it's the local autism school. There is an Asperger's school that puts Aspergers in the title, but I don't care for the name.