If you've got the price break and the time, I'd go full steam ahead and knock out as much as you can while you're there. You can't start flight training yet, as you've indicated, and you have the opportunity to do the degree. Regardless of what you do with a flying career, you should nail down the degree; get as much done as you can now. Do the general electives: you can always transfer those just about anywhere else if you decide to change majors.

In the meantime, find a copy of Barry Schiff's The Proficient Pilot, and read it.