Stopped by my friendly AT&T store today. They had a Note 2 on display, with the Samsung Flip Cover. It's the first time I've seen one in person. Now I'm very glad I went in, the flip cover just isn't going to work for me.
There's a bit more overhang due to its generous size. Folded back against the battery cover, the edges protrude enough to be very uncomfortable. I anticipated that this could be an issue but it's more pronounced that I imagined.
Oh well, I'm glad I noticed it now. Plus the really good news is that I have the slim armor on order. That's an exact copy of the one on my S4 that's very comfortable to hold.