It will take you three years to gain a BEng hons studying full time.
This will also be quite expensive. Further on the whole it doesn't really help that much in getting flying work. Paying 27k in tuition fees, well you would aid your flying career better by spending 27k on a type rating or multi time.
Study aerospace engineering if you want to be an Aerospace Engineer, but if you study it thinking it is going to help you gain flying employment then think again.
A aero degree will be mainly mathematics / analysis based rather than learning specific aircraft systems, so the ground school for a modern type rating doesn't go into sufficient depth to truly understand the aircraft systems anyway. If you have a technical education and wish to understand the technical side of the aircraft you are flying then you can source more detailed technical from other sources with out needing to study an entire degree.