When Crystal was in kindergarten, and Julie was a 1st grader, neither was getting their needs met where they were. I drew up a list of their needs that were and we're not being met and presented my needs to the staff. It was made clear they had no intention of meeting those needs.
Next we talked to the local charter school. They felt they could meet the needs I presented.
When Crystal was a second grader, it became apparent that not all of her needs were being met even at the charter school. At this point we began the IEP process.
My advice is clearly make a list of needs you feel aren't being met for your child. Ask them if they can make a plan to meet these keeds. If for they can't, make sure to talk plainly about your child's needs with the potential new school. That way you don't make a huge number of changes. It's really hard for any kid to make a lot of school changes, but particularly hard for a kid who's already struggling socially.
Having said that, the one change we did make was awesome for both my girls and I. Julie (neurotypical) went their through 6th grade.Crystal (autistic) went through 8th grade. I started as a parent volunteer 10 years ago and have been their Media Specialist for over 4 years now.

Moving a kid can be more traumatic. BUT if you have lost confidence with the school and exported every avenue then it's worth giving serious consideration. My advice is to take it to the top. Principals set the school culture.

We are thinking of moving my son too. But then, I think that big of a change may make things worse. We're feed up with our school and just hired an advocate to help. I think the biggest battle is to let the school know that you're a mama bear and you're not going to back down. Your kiddo is protected by the law and they Must educate him. They must figure how how to provide a free education. Don't back down.

Do you have an IEP and do you have the option of putting you son in an ASD classroom? If you do have an IEP is your child making any gains on what goals you have?

You can use that if the answer is no because you can say she is basically not doing her job because there are no gains. You still have a fight on your hands but you have ground to stand on.

If there is no IEP then it is going to be tough making the school do what they need to. Also even if you switched the new school could do the same thing.