I noticed mine flaking off from being in my pocket. So I just took my thumbnail to it and it came right off.I actually did that on a SE t610 that I got from my dad, I completely unbranded it, so I just scraped the T-Mobile Logo off the bottom.
I would NEVER use nail polish remover on a phone case. It will remove the paint AND destroy the plastic. Just don't do it.
The eraser sounds like a good idea too.