Instead of using a flash, use a constant light source with a target set up at a constant distance. Use your camera meter to take a reading of the target. Place the diffusion material between the light source and the target and take another reading. Do this with each type of diffusion material you have. The light source, the target, and the diffusion material need to be in the same locations each time. The ideal target would be a large medium gray card, but you could use anything including a piece of white foam core or poster board as long as it was the same target each time. The bigger it is, the easier it will be to measure.
The second alternative would be to simply aim the camera at the light with different diffusion materials between the camera and the light source. You would not be able to determine the light lost for each of the materials, but you could compare the materials to each other.
The third alternative would be to find someone with an incident light meter and do it the second plan with it. You could measure the bare light that way.