Contact:

(1) The agency you get your disability assistance from. Many have lists of suitable homes for rent. Contact them too and enquire about subsidised housing you may also be entitled to.
(2) Your local branch of whatever Mental Health Association you have there. Similarly they will be able to advise you on options and will also have a list of available housing.
(3) Check with your therapist's of psychiatrist's office. Many have bulletin boards and you might find something posted there.
(4) if you haven't already, join a support group. These are great opportunities for networking as many participants will be aware of places available in their own residential situations.
(5) do you have 'kijiji' there? or some other 'buy and sell' service. These are great ways to search rental advertisements.

How are you currently able to qualify for disability while residing with a partner anyway? I ask because I just moved in with mine and I am being cut off 3 mos after my move-in date.