QQ don't just operate at Farnborough, they're all over the place, often on former MoD sites.
I don't know why you think BAE wouldn't have as many opportunities, MAS is a big organisation. Potentially you'll get a bit of travel out of either job.
The one thing you need to know working for any corporate like them is that nobody will look after your career path for you, it's down to you to make noises about moving around if you want to – i.e. between projects/business areas/sites, etc.
QQ still strike me as being a bit of an old fuddy-duddy company, although that may be due to the division I deal with. Of course, that can be said on areas of any large engineering company TBH!
Some colleagues worked for them when it was DERA and loved it, mainly because they were doing cool stuff.
Where'd you do your degree, out of interest?
If you have any aspirations to get into software side of it, let me know – though of course I can't comment on who I work for, i think that'd still be breaking the OSA… I work as a… err… plumber?!