Rounded Edge Dash Stroke in Vertical Alignment?

Hi,

I'm trying to get my dashed lines to have rounded edges, but not in the typical horizontal setting; I need it vertically (see screen grab). I tried playing around with the settings and it just doesn't seem to be possible. How would I go about it? You can see my temporary image behind in a lighter opacity to give an idea of what I want to achieve. I'm just not that versed in Illustrator, so I didn't want to have to build it manually and start creating separate paths for each strokes and end up taking forever to build with hundreds of single sub layers...

Thanks!