For my final, I ended up massively reducing my original idea.
My original idea involved a narrative that guided the user through a level.
I ended up heavily reducing the scope of the idea in order to complete it before the deadline. My final ended up being called Run.
Documentation of Arduino setup:
I was able to successfully get my arduino to control look left, look right, and move forward. Here was my wire setup:
Here is the Arduino controlling the player in Doom with pre-defined times for each movement:
After I got this working, I decided to reduce the scope of my level. In Run, the Arduino is simply pressing forward constantly. This forces the user to passively experience the game.
I got rid of the gun and added title text. here is the simple script for text: 
The player starts off in the corner and is constantly propelled forward. They only control the look movement with the mouse.
Art pieces are scattered throughout the map. The user is forced to explore these, as they are propelled forward.
The climax of the level is a wide open room with several of the doom monsters spread out. Comically happy music plays as the monsters attack each other and the player. The player experiences the madness around him/her passively. Eventually the player dies, or all the monsters kill each other and the player is left alone.
I enjoyed this project and especially appreciated the opportunity to get experience with the Arduino. I will see some of you in the VR class!