If it is any use a humble BEng in Aero, frozen ATPL, FI experience and some heavy turboprop time, 10 years + of industry Aero Eng experience has got me to the interview stage for both a FTE job and a Flight Test Safety role. The main thing which always went against me was not being an ETPS FTE graduate. So my own view is getting sponsored through NTPS or ETPS is probably more important than gaining the post grad qualifications. Personally I think one of the flight dynamics MScs at Cranfield would be more useful than the Physics degrees you are studying.