I finally found a diaper cover I like. But I got it second hand from a friend who got it in taiwan. The only tag says "new born", no brand name or anything. I'm looking for more, so please let me know if you recognize this cover.
the two sides velcro together in the front, and then the back part comes up and velcros to the front.
tada! fully assembled on baby:
This is a very trim cover, and although it has a rubberized type of material inside, it's very soft and flexible. Not stiff plasticy at all.