BAe 146, even the BA scheme is not as cut throat as you may think...
I convinced a friend of mine to apply the very first time around in 2011, he couldn't decide on a career. He knew bugger all about the industry and BA, no degree and BBC at A-level, the bare minimum.
He did extremely well on the aptitude tests, worked his butt off learning about BA and the industry for the interviews and group tasks, and he has probably grown to love aviation even more than I do...
Oh, he also just started on line on the A320 out of LHR, and now has the job which I so desperately want...Funny world
I will admit, from what I have heard he is a rare example of one getting through with such qualifications, but it's possible if you put the work in and exude the passion.