I think you can probably do what you want to do with the options for who to display. First click on "Show options" at the bottom of the screen. You can change any of the other options you want, but what you're interested in for this are:
Parents: 1 gen
Children: 6 gen (or fewer as desired)
Others: 6 gen (or fewer as desired)
To see all of the descendants of one couple, change the settings above, then click on one of their children. Family Echo will print out the family members who appear on the screen, so you can mess with these settings for pretty fine control over who is printed.