Typically I go through all my URLs manually in order to get them to break correctly. This means going through and placing discretionary line breaks wherever I want the URL to break. Sometimes you may need to add a discretionary hyphen after the character where you want the break to occur to force the break to the right place.
I also follow the Chicago style which says to break the URL before instances of punctuation. In your example above I would break it so that the hyphen moves down to the second line otherwise the reader may be confused as to whether the hyphen should be include in the web address or not. In your example it could just be the word “betatesters being hyphenated by InDesign.