Student Dashboard with ONLY enrolled courses?

Is there way to have the student dashboard ( [courses_student_dashboard] ) show only the courses in which the student is enrolled and those completed?

Currently it appears that when a course is completed, I get the "You are not enrolled in any courses... here are a few to get you started" with a listing of courses (including the one that shows as "completed" below that).

I don't want any other courses listed anywhere. Our clients are either automatically or admin-enrolled in specific courses, or may be invited to join a course, but they should never see a list of any courses in which they're not already enrolled.

Also, on a related note -- can I make custom templates for the dashboard? I don't want course dates, enrolled on, price, withdraw, details, etc. showing... and I'd like to add a "Begin now" button or link to bypass the details page.