OP, take a look on your LA's local offer website, it will have a list of all the schools in your LA (mainstream and special, S&L units, ASD units, MLD units etc) it will also have a list of all independent schools both those in and out of area.
My DS is in an out of area special school, it is an hour's journey away, tbh it was the only school that would take him that was close enough for a daily commute, there were at least 3 other schools that he could have attended as a residential pupil but that would have completely destroyed him, his current school is not the school that I would have picked if there had been more to choose from iyswim but they have been amazing and what DS has achieved is way beyond what I would have expected.
DS struggles with independent travel, independent living skills, he has yet to fully understand about the value of money eg yesterday he wanted to go and buy an item from a local shop instead of ordering the item online for £150 less, just so that he could have the item right then rather than wait for less than 24 hours, he won't be able to use the item for a couple of weeks anyway and knows that, a difference in cost of £150 has no real meaning to him.
My main worry about education is if the academic Disabilities that DS has prevents him from gaining the required GCSE's then he won't be able to take the course that he wants to do at college, he would have to do 2 or 3 other (1yr) courses
(and pass them all) in order to progress on to the course that he wants, he would also have to gain a good level of understanding in certain core subjects in order to be able to then get a job in the field that he wants.
I regret not getting DS out of mainstream education sooner than I did, but I listened to and believed the so called professionals at that time. I wish I had listened to the nagging doubts.