I pretty much did the same thing as everyone else, however the first go around I used two layers of Warm and Natural and I found that to be too squishy. So I removed one layer and just had the silver stuff, Warm and Natural and a layer of thick Denim (which doesn't show the stains as much). Now I just love it.
By the way, what is scrim?
The idea of using a wool blanket is a great idea. You may want to shrink it before you use it, however, if it is an old blanket.