I had two cases this week regarding the ECW format. The cases were from the same customer and the users are working on the same project. This may have been the first time I've ever dealt with this raster image format.
Problem 1: "The ECW file disappears if I am in a view other than 'Top' or if the UCS changes in any way. "
The image really isn't disappearing; it is just slow to regenerate. First, flip flop between perspective and orthographic view in your active 3D viewport. This will jog civil 3D into displaying the ECW. Type PERSPECTIVE at the command line; 0 means orthographic, 1 means perspective.
However, you need to be patient. The image is there, but it may be painfully slow. ECW is a "lossy" format, which means it can achieve much higher image compression than say, a SID. In AutoCAD Civil 3D or Map 3D, every time you pan, zoom or change UCS, AutoCAD needs to regenerate the file. The file is constantly getting re-uncompressed, because the uncompressed ECW would be WAY too large for AutoCAD to handle.