Combo chart: Stacked columns & line with secondary axis

I am trying to create a combo chart using a Column Chart as Primary and a Line Chart with a separate axis for scale. This is easy.

The trick that I'm trying to accommodate is that I need to have the rows of data on the Column section be displayed as stacked columns instead of side-by-side.

Is there a solution built-in, or do I need to do two separate charts and have one be transparent and then overlap?