https://creativecommons.org/2017/02/24/update-great-minds-v-...
To quote from the ruling (internal quotations, which all of this is, and citations omitted)
> A licensee to make and use is not (in the absence of specific language in his license) limited to making with his own hands, in his own shop, or by his own employes. He may employ, procure, or contract with as many persons as he chooses to supply him with that which he may lawfully use, provided such conduct does not change his relation to the licensor.”
https://drive.google.com/file/d/0B0HBOY8b2doEdmpkMU4ya2dKM28...
Displaying the picture to recruit new soldiers seems to me to be a non-commercial use, assuming you accept that (which I admit I am asserting without support) paying to have it be displayed on TV doesn't make it commercial.
Schools, politicians, militaries (and a lot of other parts of the government) people doing stuff just for fun (and not for beer).
It's easy to think of them, I'm just not sure they're the use cases you actually want to be free. Did you really intend to subsidize the <country you don't like here>'s military and <politician you don't like here>'s campaign but not your local maker space that charges a bit of money for entrance to support itself?