This entire plan is absurd. Even if you consented to the background investigation, what general aviation or corporate pilot in his or her own mind would permit an armed stranger to board their aircraft and sit next to them while he/she was flying the plane? If there's a company stupid enough to submit to this, I'm sure as heck not going to do business with them.

...at least airliner pilots have a reinforced cockpit door between them and Eliot Ness sitting in F.