If you really want to stand out, you can get a degree that relates to the other side of aviation. If you work hard and get a degree in Aeronautical Engineering or Mechanical Engineering, then you will really stand out. You have a career to fall back on, and it shows that you are a hard worker since engineering is a challenging discipline (although I am not trying to say that Philosophy or Communications are not challenging). Being able to walk in the door thoroughly explain how and why each of the stages of a jet engine works can impress people.
While your pilot training is still number one, an engineering degree definitely will impress as much as an aviation degree and if your pilot career doesn't work out you could always still work on airplanes from the design or manufacturing point of view.
Of course it is a lot of work. I am biased of course since I am a mechanical engineer and get to work at an aviation technologies company, but it is a good paying career. I personally love aviation, but I am only a recreational pilot because there isn't much money to be made as a pilot and who wouldn't want to work on designing parts for the 787?
If you have never designed an airplane part before, let the real designers do the work!