O.K. I hear what you are thinking but as an old hand, may I offer a few thoughts: First, no airline is going to offer you a job unless you are dead lucky with the pin in the sponsorship stakes or you can produce a CPL/IR/frozen ATPL and some hours of experience. I suggest that the degree should be a backstop in case you lose that flying job through no fault of your own. So choose a subject that a: you think you stand the best chance of getting a good degree in and that b: Will help you most getting employment. It might sound stupid to you but a qualification as a chartered accountant is an "open sezame" to jobs the length and breadth of the country!!! What happens if, in 20 years, you lose your medical? Degrees in aviation related subjects are all very well, but how many companies are there in the country who require the services of aerodynamic engineers. There is only one that I can think of and there are only in reality a handful. Why don't you consider your degree to be a means to get a job to earn the money to get your CPL/IR/frozen ATPL. Then you can still earn money while searching for that airline job and pay to maintain your currency as well. Don't forget that the latest trend is to ask you to pay to be considered, pay a fee to be interviewed and so on. We all hope that this trend fails to continue, but if we continue to get far more wannabees than the industry needs then it will, and sadly, he with the dosh will succeed.
best of luck - oh, by the way, my degree was in electronic engineering.