What can I do for my DD if nurseries won’t take her on due to her SEN?

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My DD is adopted, she is 3 years and 3 months old. She can walk but she is slow and unsteady and falls quite a bit, she is in nappies, her vocabulary is limited to about 20 words. She can understand about 20 words. We are waiting for genetic test results as she is extremely big for her age. As well as a genetic condition she may also have affects of drugs and alcohol from her birth parents.
I have approached 4 local nurseries. She is on a waiting list for two. A couple I feel made it clear that they weren’t keen.
the special needs nursery is over half an hour away. I intend to call the local children’s charity and the local inclusion team for advice.
can anyone recommend anything else I should be doing.
should I start to apply now for an ehcna for school, I feel she may need a special school as she is unlikely to be out of nappies in the near future but the thought of an ehcna fills me with dread due to the horror stories on this forum.
any advice would be gratefully received.
I am at the state where I would quite like to bury my head in the sand quite frankly.

Yes apply for an EHCNA now. On their website IPSEA have a model letter you can use.

30 mins away isn’t a lot in the scheme of specialist provision. If you have been offered a place there I would take it. If you haven’t I would push for a place there.

The nurseries could apply for early years inclusion funding. Are any of the nurseries attached to state schools? They are often more supportive than private nurseries and have the benefit of having the school SENCO.

Thanks so much for your advice. Just got off the phone to the inclusion team, she was very helpful, she is visiting one of the settings tomorrow and said she would find out where Dd is on the waiting list and speak about her to them. She said she highly recommends them and another setting I will contact tomorrow. She said that they have funded an extra member of staff for a child in that setting and could do the same for DD. My Dd doesn’t currently have the energy to attend 15 hours a week so I am very flexible on times and they are both 5 minutes from me . She has assured me she has worked closely with both and highly rates their abilities with Send children.
thanks again for your advice I am feeling a bit more optimistic.