With Tuck, the disparity isn't quite as apparent as Columbia (as far as I know) -- so it's not a huge deal if you don't apply Early Action. However, you'd still want to get it in sooner than later since they're more willing to give you a benefit of a doubt that Tuck is indeed your first choice.
As for consulting -- keep in mind that you have to actually get an offer from one of these firms first before actually negotiating which office you end up going to.
The hardest office to get into in the US as far as I know is the San Francisco office (for most consulting firms). Outside of the US, it's Sydney (very few spots relative to the numbers that would love to be stationed there for a few years). That's the issue with San Francisco -- it's a city that a lot of MBAs (and consultants) would love to live in, but the demand far outweighs the supply of actual open spots.
When recruiting, you have to prioritize what is more important to you -- location or firm. If being in SF is the main thing, then you will have to be far more flexible about the firms you target (outside of M/B/B). If you're so gung ho about the firm's brand -- you may be more selective with firms -- but you may have to be willing to be based in say, the Pittsburgh or Cleveland offices (or whatever offices that are less desirable by MBAs).
So if consulting is your main squeeze, apply to the schools where they recruit (basically any of the top 16). Get the offer(s) first, and then negotiate for the SF office -- and which office you get has less to do with your school, and more to do with fit, luck, your negotiating ability, and whether they will even offer it to you.
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