Actually non-airline pilot jumpseaters is not unheard of these days. Our Vice-President of flight operations is has the authority to authorise jumpseating privileges. It takes several weeks to do but it has been done since 9/11 for interns and I know of guys who were allowed to jumpseat at other airlines while they were interns there (ACA was one of them). The best person to contact is the company. Make the request formally in writing and expect it to take a long time to authorise.
GOod Luck.