Sch3cter
There are tons on discussions on AH on this topic. Take a look through them.
In short the answer is no, its not social housing where you could potentially get transferred. AH is private housing. The only way out is to sell. (horrible I know) but do read through the affordable housing thread.
Emails, phonecalls letters etcc..... fall on deaf ears. You have to go into them, even at that you might be lucky to get the answers you need.
You might some comofort in the knowledge that you are not the only one. There are lots of people who want out for various reasons.