I was asked for similar advice some years ago when I recruited for the strategy houses at BLT.
On that occasion it was a British Army Major who had a 2.2 from a good, but not Russell Group, university. He wanted to join McKinsey, BCG or Bain. How should he go about it?
In essence, I told him to forget it. But he was determined, so I suggested:
- take an MBA at a top Business School
- graduate in first place
- invest in case study and strategy house interview prep tuition
and thought no more about him.
Two years later he rang back to say he'd had offers from MBB and three other 'name' strategy houses. How had he done it?
- graduated first in his class at a top 5 UK business school
- spent another six months after graduating honing his interview skills at Big Four and other large (but not his target) firms; developing relationships with former Army Officers at MBB; and using paid-for case study interview coaching.
So it can be done.
I'd recommend you use the military networks which help resettlement into civilian life to link up with consultants, and explore opportunities in the Big Four and PA Consulting. (In my day PA had the largest number of ex-military.) Some defence contractors have consultancy arms (eg BAe), and there are also a number of small defence consultancies (mainly US and UK owned) to research.
Let us know how you get on.