When I was a high school SENCO this was totally my experience. Very frustrating and unfair. Although this is going to sound like a shameless pitch for business, the job I do now is designed to support schools and parents in exactly this situation. I am head of Home Learning, TCES and we work with schools and boroughs to provide interim support while a suitable provision can be found. Happy to talk to see if we can help. Or will be at NASEN next week if anyone is there.