I would take it by helicopter directly to the closest road and then put it on a truck where you could drape a tarp over it and avoid damaging it in the wind.
Regarding the drone itself, a flying wing looks very similar to any other flying wing... engine down the centreline... standard shape for a subsonic aircraft...
The person holding the cell phone should have seen the head in the way and moved to one side... maybe they did and that footage was censored perhaps?
Flying enemy drones to put pressure on Iran would not make a lot of sense... Iran could send up some F-5s to use their 20mm cannon to bring such a large target down very easily... even MANPADS modified to be carried on light fighters in packs of four missiles per pylon would be a cheap simple way of dealing with such things... in fact even a helicopter could be used depending on the flight speed and altitude of the drone.
Conversely it could be an Iranian drone that is flying around looking for enemy activity in the air or on the ground in restricted areas... a drone with thermals can observe an enormous area of empty ground at once and would be ideal for spotting people in places where they should not be.
I would suspect the latter as being most likely because if it is the former it would make rather more sense to release official footage and make public statements and turn the pressure onto those launching the drones.... in the form of... if you had the deal back in place you would be allowed inspectors on the ground whom we would not shoot down and take into custody.