Global Theme Header - for more than one Region

I have a region assigned for logo text, this allows it to show up on all pages assigned as a Global Theme Header.

However, I have a region just below it that contains the website main menu.

It seems that I can only allow one region at a time to be assigned to the Global Header section.

I can assign the menu element into the top region, but this limits my ability to assign it a differing region background style.

Is there a way to assign an additional region to show up with the header section?

Any advice or insight on this?