There is a fairly prolific poster on PPRuNe who uses the user name Genghis the Engineer who combines flying and engineering with a lot of success, it might be worthwhile searching for their posts and/ or dropping them a PM.
I come from an engineering background (military not civvy) and while the engineering experience and degree have not opened any flying doors, it has allowed me to get some engineering work while looking for flying jobs so I can keep the money coming in and keep my flying qualifications and medical current.
So your degree and engineering experience may well allow you to earn a crust and keep the wolf from the door after you finish training if you do not find a flying job immediately.