Why not use the same image flip effect as the 35mm adapter on your Lcd? If you put a magnifying glass or something like it the right distance from your lcd, and then ground glass or an eye peice the same distance on the opposite side, then the image will flip all the way over, plus using ground glass, you could make a somewhat of a screen with proper shade from light. observe:
a very very VERY rough idea of what it would look like:
a very very VERY rough idea of what it would look like: