If you're going to fly for a living I'd strongly recommend getting your flight training done, get your hours, get hired at a regional (I think management will fight tooth and nail for them to survive), *then* work on your degree online/in your free time. I passed up a hiring wave to instead focus on finishing my four year degree. I had more than enough hours to get hired right then and there, but I "I stayed in school" like that old wives tale that promises riches admonishes us to do. Dumb!!!
Non aviation degrees are probably a good idea, as others have said. Cheers.