Hope in a dream typically points to forward motion -- a sense that things can still improve, even without clear proof yet that they will. Holding onto hope in a difficult dream scenario can reflect real faith you're maintaining in waking life, a quiet insistence on possibility even when circumstances haven't caught up to it.
Let the Moon be increasing in light, and free from the aspects of the infortunes, when you would cure sore eyes. - William Lilly (1602.-1681.)