Just needing some advice

I have a 4 year old Autistic little girl we are currently living in a 2 bed flat. I am trying to move to a 2 bed house but can't find any private ones and my council band is only c.

my little girls bed is currently in my bedroom as her bedroom has a lot of damp and cracks in the walls. I have been on at the council for a while to come and do repairs but have been unsuccessful. I am wanting to know what is the best way of trying to get rehoused. As this flat is not fit for her anymore. 

any advice would be great 

thank you x