I was hoping that the Aviation Management degree would be a degree that allowed me to, if a medical was lost or furlough took place, still have a job in the aviation industry, though maybe just not inside the cockpit.

And what is the allure of a different degree? With a business degree, you would also need your masters, and no company will hire you based on just a degree, it is the experience that counts. So why not pick a degree based on the industry that you want to go into?