Or do I just have to move on and hope to come across a new song while conscious?
you should do that too, because dream ideas can be rare. What you can do, when working while you're awake, is just be patient, and know that sometimes nothing happens for a long time until you can finally get truly comfortable. in a way, it only works if you stop wanting it to work. And this can be quite difficult, especially if you want the music as much as i do. but if you're patient, it HAS to happen eventually. science tells us this