Easy (not sure about the aeroplane though!): you vrlcro black out blinds onto the window frame, regardless of the window bring recessed or not.
You can do it yourself: buy velcros from ryman or john lewis or else and cut out black out materials yo the size of your window frames (you can cover the black out with nice fabric)...
... Or you can find a company (google it) to do it for you but honestly no point paying someone to do it when it is so easy to make!...
... Or jojo sells black out to stick on windows for £35 a roll.
Been there, know how you must feel