This is going to be a huge job and it's going to take a long time.
But I was thinking of a way to speed the job up. I thought about making molds and filling them with something, but ultimately I think it will be easier to make these is 8 foot x 2 foot strips and cut them down into 2 foot x 2 foot units that can be placed into the checkerboard pattern. I'm not totally sure I can make 50 of these units perfectly square, but I like my chances much better if I make 8 foot diffusor strips and cut them into perfect squares AFTER construction.
Also, I have to look into the fire code for this building to make ABSOLUTELY sure I won't be voiding the house insurance by blocking the door. This did not even occur to me until a couple of days ago.