I'm also sort of in london (suburbs), but anyway I have been on benefits for 2 years, at the start I went to college to do a meaningful course (at the time) in the IT industry that is still sort of booming but the software development skills aren't really transferrable as alot of those jobs require degrees or are outsourced to other countries.
Now at the present day my qualifications mean pretty much nothing at all, nonetheless it means I can program intermediate code using high-level languages/IDE's, build computers, set up networks, and all 1st & 2nd line IT support roles. I briefly achieved my independence whilst at university by being away from parents doing the wrong courses and inevitably failed and had to move back home removing my independence and effectively being 'dependent' on my parents for shelter, food, electricity, water and all the basic needs among the occasional luxuries like fast food.
These things aren't meant to last though, you mentioned that you wanted independence, I had my taste of independence at university but I assume it feels different to have your own place, a certain freedom of what you can do, given your choice whether to live alone or with friends. I tried my hand at retail and office administration; retail was too noisy and customer oriented, and office gave me high levels of anxiety, even though it was quiet, but phones are pretty much an inevitability, only thing that worries me are the bosses breathing down my neck.
I know that you can't get housing benefit until a certain age (I think 35) if you plan to live alone. Sharing accommodation has no age limit on housing benefit afaik (whole system is confusing so I could be wrong altogether). Sharing is a terrifying prospect to consider when going on the housing list, you'll be planning food, bills, rent between each other, communicating with your housemates will depend on how much your condition affects you of course.
Only thing I can think of is:
- getting a job and saving enough so you won't have to get housing benefit and either decide to live in a single flat for a few years or
- get a mortgage for a house if you feel like you can keep a job for more than a year but also you might find this to be of shared accommodation as mortgages are usually shared among a 2 or more people (generally with couples).
(flats aren't too bad but I like to do my own housework/DIY in my own house, just a hobby of mine)