If you want to be at a major, you will need a bachelors 98% of the time. But you are military, but unless you are a military trained pilot, those hiring favors may not be so great compared to someone who is a mil-FW pilot. So that degree you will likely need. Id say pay for the flight training out of pocket, and use the Gi bill to get something useful outside of aviation. For example a bachelors in investment banking, or IT, whatever. Thats what i plan on doing. Just in case i lose my medical sometime in the next 35 years. Ill have something to fall back on.