[user104658]

The council housing situation as it stands means that as a single adult, you are unlikely to EVER get council accommodation unless you're currently homeless.

Honestly your best bet would be to look for a flat/house share and claim housing allowance. I assume you know that council accommodation isn't free? You still pay rent, it's just usually much lower than private rent (and is covered by housing allowance if you qualify, but the same goes for private rental). However a full one bed council flat isn't goi g to have lower rent than a room in a house share (usually about £250-300/month, unless you live in a big city)