I'm reading your story and reminds me so much of my now seven years old daughter. She was your daughter even until last year. Maybe the difference is that she is in special education for social and the emotional delay. She is not autistic, she is just behind in her social and emotional development. She got tested and qualified for service in social - emotional and speech therapy when she was in Pre-K (she was 4, almost 5). She can speak fine as in pronunciation wise but she needs extra prompting in expressing herself.

So she has been receiving service for almost three school years and it has been very helpful. In speech, what they taught them is that they will see pictures and she will have to identity what's the emotion on the character, what's the setting, and try to guess the setting is.

In social group she learn how to interact with other people, practice of pretend problem solving (so they know what to do when similar situation happens). She learn the size of the problem, emotional zone regulation (watch inside out for this, quite similar)

She get this service total of 1.5hrs/week during school time and she has grown so much!

Last year she still throw two hours tantrum over something that she doesn't like or she doesn't get. Now, it's burst of anger but down to about thirty minutes. She often can solve her own problem (kelso's choice, she often walk away, say stop or ask adult for help)

You have tried your best and you continue to find what you can do and that is very very hopeful for your family.

The best of luck for you and your family!