What kind of drone might be able to fly so high that it "operate(s) outside national boundaries"? In the question What is a propellant burner trailer? I mention that

CNN and NPR have pointed out that the US president recently tweeted a surveillance photo of an explosion of a rocket on a launch pad.

The NPR article linked above speculates on the source of the tweeted surveillance photo, mentioning that it might not be a satellite product. At one point it says:

It was not entirely clear where the president's photo came from. Panda believes it was most likely taken by a classified U.S. satellite. But Melissa Hanham, deputy director of the Open Nuclear Network at the One Earth Foundation, believes that the resolution is so high, it may be beyond the physical limits at which satellites can operate. &quot;The atmosphere is thick enough that after somewhere around 11 to 9 centimeters, things get wonky,&quot; she says.
That could mean it was taken by a drone or spy plane, though such a vehicle would be violating Iranian airspace. Hanham also says that the European company Airbus has been experimenting with drones that fly so high, they are technically outside the atmosphere and thus operating outside national boundaries. But she says she doesn't know whether the U.S. has such a system.

This comment suggests that answers to Is there a height limit to national airspace? address the height required to operate outside national boundaries, so I have modified my question to ask only the following.
Question: What kind of drone, Airbus or otherwise, might be able to do this?
Normally, controlled airspace ends at 60,000 ft (Flight Level 600). Airplanes flying higher than that would be operating outside of controlled airspace. Currently, there is no internationally agreed definition where national airspace ends. However, aircraft flying higher than 60,000 ft (18,288 m) could claim to fly outside of national boundaries.

There are several airplane designs capable of flying above that height:


The venerable Lockheed U-2 should be first on this list, even though it is sometimes loaded with sensors such that it can climb above FL600 only at the end of its mission.
Next would be the Lockheed SR-71, but none are still flying.
Both the Myasishchev M-17 and the larger M-55 also qualify.
But most likely the photo has been taken by a RQ-4 Global Hawk which officially flies up to 60.000 ft high.


Even though those designs fly at a height where 98% of the atmosphere is below them, they are still firmly flying within it, technically or otherwise.

There are several more which can fly much higher, but those are research aircraft which do not take photo trips into Iran. Of course, there can still be a classified design of which we don't know yet.

EDIT: Now it is reported that satellite tracking has identified the source of the photo as USA 224, a spy satellite launched in 2011. Using the shadows in the picture as a sun dial, the exact time could be determined and the corresponding satellite was traced down by amateur satellite hunters.