Please try the 'stand-alone' plugin version, and tell me if the same thing happens. It's found in the Band-in-a-Box folder : \bb\BBPlugin\Files\Band-in-a-Box DAW Plugin Standalone.exe.
It works exactly the same as the plugin, except that it is not a plugin, i.e. it's not a VST that you open through Cubase. Try generating a song and then dragging the tracks into your Cubase project and see what happens. I reviewed the forum thread and it doesn't look like you tried this.
This will help narrow down what the problem is, and in fact you could just use this method if it works for you, if you don't need to sync the plugin with Cubase.