The main issue with the ME-1 is light falling in from the side. I took an eyecup from a telescope eyepiece (I had a spare, but orion optics for instance sells those for a few bucks a piece), modified it to fit the Me-1 circumference and voila:
I think Brian Mosley has posted a description of his eyecup on dpreview a while ago. He used the "harmonica" 7405 eyecup from orion optics I believe. I opted for the other one-sided cup.