The Dogpatch is cheap? When was this? Last I checked you're likely looking at $2500+/mo for a 1BR. Maybe if you keep heading down towards Bayview, Portola, and Sunnydale (never mind the deterioration of the neighborhood) you can get closer to "rent for cheap". I think I'd actually favor the Sunset, but you'll have to head out a ways because inner-Sunset and Cole Valley are heating up.