I don't think Kant intended phenomena and noumena to be a two way street. From your description, it sounds like he was trying to separate the things we perceive from things we can't. He wasn't trying to say that phenomena affects noumena, which is the intended goal of the whiteboard exercise.

If your intended goal is to change the phenomena, that is, your perception of things, for the sake of perceiving something different than what it is, that sounds like willful delusion.