Okay, my opinion for what its worth.
Your degree may open doors to get into a Tech Services or Planning role in aircraft maintenance but is of little use to actually working on the aircraft, For that you need to do a B1 or B2 Licence which would mean re-doing alot of the theory stuff you have already done. I got lucky 10 years ago and got into the industry with a degree working in Engineering Support, but now its a whole different ball game and opportunities seem to be filled with experienced staff.
Is there any reason you don't want to go the RAF route? Because it seems a good way of gaining expericience to supplement your qualifications.
Of course this is just the way I see it and others may disagree with me.