Forget the rules ... a good concept here being wasted by not thinking outside the box.
If you're going illegal go the whole hog
Move your production company from the USA to some crazy latin american country , find some adrenalin junky pilots and a publicity loving sponsor with a need to do brazen imports into the US , put the pilots in rubber masks of ex American presidents (like in Drop Zone) and get them to fly stolen jets (with the registration number annoyingly digitally blotted out) into the US at low level with US border , national gaurd and anti drug forces trying to catch them.
Alternatively after moving your company south of the border you can buy some old biz jets, the planes could be loaded up with something harmless like ponchos or hats or something , you could sell it as an 'independent documentary' on the effectiveness of the US border security.
That's something that would be worth watching but dont plan on returning to the USA for a while.