Bad Files Out Of QuickTime Broadcaster

I am using QuickTime Broadcaster (1.5.3, running on Mac OS X Server 10.6.8) to stream a monthly sales meeting to our employees. The stream is also saved for later viewing. It's this saved stream I'm having issues with.The resulting QuickTime files are very difficult to deal with. QTB automatically closes a file when it gets to 2GB and starts a new one (a little more than four hours of stream, given my present settings). The first of these files will not end cleanly, but instead has a single frame repeated numerous times. Fortunately, QT Pro understands that the video actually ends at the place where these repeated frames begin, so that part is easy enough to edit out.

It's the subsequent files that have the bigger issue. There seems to be some kind of time code problem. When I try to stitch the files together in any app, including MPEG Streamclip, QuickTime Pro, or iMovie, things go haywire. For instance, if I copy the entirety of the second file to the clipboard in QT Pro, then paste it onto the end of the first file, QT Pro refuses to update the view in the viewer. Audio plays, but video doesn't. If I try to save this resulting file, I get "The movie contains an incorrect time value."Often, I can cut out the first few seconds of the second file and it pastes OK. However, this does not always work. Anyway, I do not want to lose any time from the presentation.This seems to happen irrespective of the video format that I've selected for streaming. Does anyone have any experience working with these files?