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MSc Management profile chances? (Imperial, Cass, King's)

Hi everyone, I'm really having a hard time in determining my chances with these universities for their MSc in Management programs. My aim is to work in a large management consulting firm one day and this MSc would be my stepping stone.

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Here are my stats:

School: McGill University (top in Canada)
Program: Joint Honours Economics & Finance (one of the hardest programs at McGill but admissions people aren't likely to know that obviously)
Cumulative GPA: 3.22 (however this was due to switching from spending 2 terrible years in English Lit before switching programs. Improved greatly in my final 2 years in Econ and Finance, final year GPA was 3.55)
GREs: Q 167 (97th percentile) / V 158 (80th percentile)
GMAT: Will take them soon, optimistic about getting 700+

Work experience: 2 summer internships in private equity and management consulting, both in small boutique firms. 1 summer spent doing academic research with Hong Kong University on finance
Extracurriculars: On the events committee for a professional Canada-wide women's finance association, and VP position for another Canada-wide professional business association. Volunteer work for YWCA and a local climate-change organisation.

References: Planning to have 1 from my boss at my management consulting internship and another from a professor who has taught me 2 courses covering leadership ability, presentation skills, research analytical abilities.

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What I'm worried about is being cut off immediately because of my GPA, despite the "explanation" behind it.

I've asked the admissions people for typical GPA requirements from Canadian universities (not taking into account uni ranking) and some flexibility is allowed:
Imperial: 3.1
Cass: 3.3
Kings: 3.3

If I'm not a likely candidate for Imperial, Cass or Kings, what schools should I be aiming for?

Many thanks