i suppose if it's a case between being on the streets or putting your "stuff" in storage or selling some furniture to give you more time to find somewhere, it's a no-brainer.
Sounds like you are going to have to think creatively as you have such specific requirements and no control over what your landlord does. Or perhaps look for a different job in a different area? There are plenty of jobs disabled people can do (i should know - since ive been disabled i've always worked full time) and now that more firms are geared up to accept home working as an alternative to working from a specific place, there's more flexibility. For example i am sitting here replying now in my PJs, but will work later + tonight to get my hours in. It might seem scary, but it might be what you have to do - think differently if you cant get a place in your preferred area