It seems that you agree a specialist school is the right choice, in which case the current school is already unsuitable. I say that only to put it in context.
In which case the question is really about whether you have a voice in choosing school, and that you don't want to be forced.
The short answer is yes you have a say, quite a strong one.
I would advise you look for a provision which you feel can meet the needs. Then an that the next week review discuss provision as the main topic of conversation, it sounds as if the school will be open to stating that a change of provision is required in the minutes. At this point your preference can be included.
The local authority can then do one of the things:
- agree with you and name the change of placement.
- agree that a specialist provision is required but suggest an alternative.
- disagree that specialist provision or change of placement is required.
In the case of option 2, you may actually agree with them. If not you can appeal.
In the case of 3 you can also appeal. However this should be avoidable of your current school write their statement correctly. If they clearly lay out their areas of concern, list what they have done to address it and that it has failed, then assuming their list of support is adequate the authority have nowhere to go.
In all cases, your voice and the voice of your dc is significant.