Dear Yitzzy,
Your daughter has the "classic" (though I hate to use that word since each child is expressly unique) deficits of a child with autism. Does your daughter have health insurance through you? I think you may need to contact the Social Security Department. SSI is often awarded to those with financial difficulty. Not all cases of a disabled child will receive funds. Also, if you chose to put your daughter on Medicaid, there will be a lean put on your home. This is the reason we did not go that route. I may be speakinig out of turn, as I'm not an expert in governmental supplementation so please contact the office and ask many questions. This might save you the energy and the painstaking amount of time to fill out all the forms.
Please know that you are doing enough. As parents, we question ourselves because we don't want to have regrets and find out that we missed an opportunity for our child. It sounds like you are doing great with working your daughter into the typical activities of her peers. That is what you need to do. The turn taking and meltdowns can be hard. I don't know if there is an answer to this. It can be the rigidity of our children that creates the anxiety for them or something completely different. All I can offer is to try to "feel" your way into a potential solution. What is your heart telling you about the reasons why your child has a hard time losing? Of course, we all like to win but for our children there is more anxiety for them, when they don't.
Good Luck. I hope this helps.
pmw