I, too, have tried a white eraser without much luck. So I normally add a piece of wax paper between the die and the cardstock. However, yesterday, I used a die I had never used before, forgetting to add the wax paper. Quite by accident, I found that my adhesive eraser works much better than the white eraser on the gray steel dies. I'm not sure this would work on Spellbinders.
Caution: You are entering an artistic zone. This is not clutter - this is creating. These are not pajamas - it's my work uniform.