Not everyone gets along with folding hoods. I usually bring a wide brimmed hat along for some extra shade. A darkcloth is better, but usually I'm using the folding hood in areas where I want to avoid using a darkcloth, so that I can be aware of my surroundings.
A fresnel, which you may already have, will give even out the illumination of the screen, but at the expense of having a narrower viewing angle. With a 105/3.7, you shouldn't actually need a fresnel. It helps more with wide lenses.
You may just need to clean the groundglass, which usually isn't too difficult to remove. If you decide to try this, keep track of the position and orientation of the groundglass and the fresnel if there is a fresnel lens, so you can put them back in the same way. If the groundglass has markings or grid lines, they may come off when you clean it, so you may want to test in a small area. You can just rinse the groundglass and the fresnel with warm soapy water and let them dry.