Not sure what you're after here. What routes are you talking about? Routes are generally .gpx and BaseCamp will import numerous files including .fit files and convert them to .gpx files.
That's different, you're talking about saving a Course you've created as a gpx file, unfortunately that option isn't available as far as I'm aware. There are some work arounds I believe but I don't use them. Someone else may be able to help with that though.