FAWM, 50/90... etc.
I do something similar to generate ideas. Basically 24 new song ideas in 24 hours.
Obviously not whole songs but just try to find a hooks, rhythms or interesting chord progressions which can be developed. I have never yet got to 24, and out of all the ideas maybe only two or three actually develop into anything, but the deadline, freedom and tiredness does drive me into unexplored areas.
The problems arrive when I now have to arrange the song, learn all the parts, program the drums/midi, rehearse the guitar and bass parts, realise that the drums and midi aren't quite right, iterate around that loop a few times and then start the mixing..........