Bump for shoopi.
Since I first made this thread, I have been working on this task off and on. I wasn't able to make a problem that met the requirements. Tonight, I discovered that the task is acheiveable; I found a composition by another composer that meets the challenge. Thus, I am giving people another chance to try this.
Challenge: create a position where black must have promoted a pawn to N, but there are no knights on the board. Also, neither King is in check.