Most takeoff alternates that I work with (turbojet 2 engine) have to be within one hour. If the senerio occures then the Pilot in Command can deviate from any regulation for the reason of safety. Thats the good news. The bad news is the PIC is accountable for the action. So the Pilot in Command decides to execute an approach he is not certified for, all for the sake of one passenger. He in essence jeopardizes the entire passenger load doing something that he is not only not suppose to do, but isn't trained to do. I would say definitly go to the takeoff alternate. I believe the Government Agency would give a big frown as well as the airline.