I think you did great but you should push for FT specialist support.
If they issue a statement naming a ASD unit then they actually have a statutory duty to provide it immediately.
I am a bit worried they may issue a statement which does not name the unit because otherwise they are laying themselves open to legal challenge.
That happened to someone else on here where they named a mainstream school not a special school as there were no places.
Look at IPSEA website about what to do if you get the statement you want but its not implemented - you don't appeal - you have to go to Ombudsman or take legal action I think. You only appeal if they do not name what you want.
Come back and tell us what happens but I agree I would definitely get advice.
Don't listen to the cheap shots they always use these tactics - can you imagine the NHS saying how dare you bring your sick child into hospital don't you realise how pissed off the other patients will be about having to share the ward and doctors.
If they refuse FT tell them to prove to you that they cannot accommodate another child and an extra teacher in the unit - or that there are no private providers which can take your child.
You might want to contact your MP because this raises concerns for other children and our MP has got several children places where none apparently existed.
If you do have to appeal to SEND then you can ask for an early hearing date - there is a form on website and send this with your appeal and reasons why its urgent.
Have you thought about a thread asking about other placements which might be near you? People on here might be able to come up with some alternatives. We do ABA so I would say find out if there are any ABA providers who could support your child in mainstream (they definitely won't want to pay for this)! We get 35 hours a week of ABA (won at tribunal) at home and in mainstream. Ring yourself and find out if any private places have places now. Specialist schools take children in at any time not just once a term.
Also be clear - what do they mean by specialist support? Do they mean a specialist ASD teacher? A specialist TA? A normal TA who has been on a 1 day autism course? Specialist SALT?
When you write definitely say "you agreed that my child's needs could only be met at an ASD unit / requires daily specialist teaching - however currently you are unable to provide this...etc' Just in case they issue a statement naming mainstream with support and deny saying the unit was essential. I would not say you have agreed to wait 7 months, I would say you are considering their offer of provision in the interim and will be taking advice. Even if you have agreed you can say on reflection I think your offer of PT provision is not appropriate etc or I would like to take advice on this....
Never feel you have to stick to what you say in a meeting they are so stressful its fine to actually change your mind once you have had time to think it over, especially when you are being bullied.
There are several cases on Local Govt Ombudsman website where child did not get provision needed and parents paid privately and LGO got this refunded eg delayed implementing statement. Also a recent case by NAS where they argued was breach of human rights not to provide appropriate education (the case was not successful but the principle that they should be able to make provision for all but the most extreme cases was established). Is on NAS website
I think you should consider speaking to an education lawyer for a free interview as I suspect if they don't make specialist ASD provision you could take legal action. Remember your child has actually been without this provision they agree he needs for several months already.
Don't feel you have to take their offer. Consider it only a first offer!