zdad: Not every learning disabled kid needs a school specifically for learning disabled kids. Some do, but many kids with learning disabilities do very well with resource room assistance.
moishy, I don’t know squat about Brooklyn schools so I can’t really help you, but I hope you’re matzliach in finding someplace!
Actually, just a thought, what about Shaarei Arazim in Monsey? I have some neighbors there who seem to be very happy. (I don’t know if they have a dorm, though.)