I would like to share with you some experience that you could consider. They are only suggestions.
How often have you taken your DC to the town you are planning to move to?
I ask, because two of mine wilt in towns. Why I don't know. My daughter loves to go shopping, but less than an hour and you can see the strain on her face and have to come home.
Why not stay where you are and see how the travel to school goes? DC may have special needs, but despite the length of time, the DC will be able to see other places and that could help the development. SEN children have that capacity, given the opportunity.
If you do move, you will have a DC to learn to accept a new house, new school, and the DH the stress of driving to work, which can cause hypertension and other diseases. Also I have heard that the increase in testicular cancer could be that men sit too long at a time in the car/bus/train/work, generating heat which is dangerous.
Newborns are also very aware of change, and that could be a problem
Make a pros and cons list. DC SEN, change location, change school, change the way of life? DH unhappy with the change of life that will be, and the new baby, all this, and you have to organise a move. According to statistics published, moving house is top of the list for causing stress. Can you take that without breaking? Whether your DC will like a new location, a new school is not certain right now, so why not stay where you are for a bit longer and see how DC copes with the travel to and from school. It is just a suggestion to consider, not an order!
Also, consider the conditions for your DH: can he take the changes he will make? Few men like to change. Your DH is not keen, and you have to consider the happiness of your life together. If everything is on a reasonably good level, why rock the boat? Perhaps he is worried about the driving and doesn't want to tell you. Some men store up resentment, and if your DH doesn't do that, he may if he is unhappy with the move and content to stay where he is.
You, also, have to consider your life, in a new location with unknown people in the street. If you like moving and making new friends, that is fine, but if in doubt, don't.