Get the BSc and get working and start the flight training.
Under Sartor a BEng is no longer adequate to get chartership, you will need a Beng and a MSc or an integrated MEng.
Only having a BSc will not stop you getting employed as a graduate engineer, infact the extra year in industry will
be more useful. If you want to get chartered you will need to do a MSc, so there is little to gain by upgrading to the BEng.
The sooner you start earning the sooner you start flying, and the BSc should still get you into a gradaute engineers job.
For the sstaurus whom declared a degree will help you get an airline job, this I have not found to be the case. However having a career to go back to after your training is definately a big bonus.
Infact as a graduate engineer I had no problems gaining
the credit I needed to fund the flight training and I didn't need to use HSBC. A BSc will be perfectly adequate.