It's really dumb, but you have to insert a "Break - Next Page" after the "Break - Continuous" that you want to delete. Then, delete the "Break - Continuous" and it will turn into a "Break - Next Page"... now delete it too! Your original "Break - Next Page" should have stayed the same.

You have to do it in exactly this order and I never understood why, but I've run into the same problem before and remember the solution! Let me know if that works.