There's really no forced mate there after 2. Kf1. Maybe you are overlooking something in your own analysis? The queen check on h1 leads to the same sequence of running away. The light-square bishop can't check on g4 because of the knight, and even if it could, there's plenty of piece sacrifices to save the king in the short term. If there's a forced mate, it's something like mate in 20, which is silly. White has to cooperate with the queen sacrifice to get mated by black.