Place the outline in Illustrator
Separate the outline from the background so all you have is the outline of the state selectable.
Copy and paste this to InDesign from Illustrator.
Once you have the shape copy and pasted to InDesign you can use the
And now you can use it like a Text Frame within InDesign.
Note: It's not wise to copy and paste everything from Illustrator. It's simply not a safe practice.
However, you want to use the shape as a container, so this method is fine.
Wow, excellent, thank you for this swift reply - I will do this at once.
So I know for the future, what are the potential problems in copying and pasting from Illustrator?
Simple shapes are fine. Complex illustrations are not. Sometimes they work great. Sometimes not so great.
Best practice is to use File>Place
Otherwise if you intend to edit in InDesign then you can copy and paste it in, and make changes in InDesign.
If you don't need to make changes in InDesign then use File>Place - usual practice.
Complex images from Illustrator that are pasted in could cause drastic effect on the performance of InDesign.
Complex images from Illustrator that are pasted in could cause untold damage to the image that would be only noticeable when printed by a professional printers.