So far as I know, a degree is not required to work for regional airlines. This goes for Comair, Chataq, Mesa, SkyWest, Express Jet, Eagle and ASA at least.

However, it certainly doen't hurt to have a degree as it shows follow through. In addition, should you plan to continue on to the heavy machinery and fly for Fed Ex, UPS and the like they will certainly want and require in most instances a degree, unless you have military training then it gets murky. Even the specificity of your degree, be it a BA, BS, in Journalism to Math really doesn't matter so much as you have accomplished something, including aerospace. Besides, get it because you will need something to fall back on when you get furloughed....but I hope not.