Question Regarding GPA, Region, and Career switching to Consulting

1. Undergrad major - Generalist consulting firms don't care what you majored in. Firms organized around industry verticals might.
2. GPA - Cut-offs are usually only discussed for undergrads, not MBAs. Mine was far worse than yours and recruiting went very well for me. In my experience, firms didn't even see my undergrad GPA until after I'd been invited to interview. My MBA program (like many others) has grade non-disclosure, which means we are prohibited from sharing grades (and companies can't ask for them) during the OCR process. Even if your school doesn't have GND, firms will see one term of grades, at most, before intern interviews.
3. Career switching - Like the vast majority of full-time MBA students, aspiring consultants on campus tend to be career-switchers. Consulting firms (especially generalist ones) look for a track record of success, analytic ability, communication skills, team orientation, and leadership potential. Pre-MBA career distinction is important, but not necessarily content.
4. Career goals - Some offices of some consulting firms might lean towards the media and entertainment industries, but it might be tough to focus all of your time there. In general, west coast offices (e.g. LA) will offer you the best opportunities. "Some kind of finance" job might prove pretty difficult as a back-up plan. Finance is a great big world unto itself, and no matter where you end up, lots of your classmates will be gunning for those jobs as their top choice.
5. School selection - I had a much lower GPA (sub-3.0) than yours with a great GMAT and ended up doing better-than-expected with top-10 schools in R3. Don't be afraid to throw some reach schools in there. Different schools can open different doors and the schools you mentioned do produce many consultants, especially for Big 4 firms. If you have your sights set on MBB or on certain niche firms (say, ones that do video game consulting), make sure to dig deep into the employment reports and reach out to folks in your network familiar with those schools and firms to make sure you're on the right path.

Good luck!

Echoing what others said, most firms care more about GMAT than GPA. Given the variability for GPA (school, major, etc) GMAT is a much more standardized measure of success.

From my experience, GMAT seems to be more of a checkbox than a decider - As long as you have a certain number or over (ranges from 680-720ish) you should be in good shape. Having a higher one definitely helps, and having a lower one can hinder (but is still not always a dealbreaker) but there are many other components they consider when evaluating candidates.