If setting your reader down on a surface is causing it to get scratches on the back, how about setting it down on the neoprene case? I know it's one of those "so obvious it could have smacked me upside the head" kind of answers, but hey, why not? Here's my reasoning. Reader is in the case, you sit down to read, pull it out of the case, set the case down within arms reach, read a bit then decide to stop reading for a moment, set reader on top of neoprene case.
Or, am I just not getting it?