I'm going to limit my comments to MBA hiring; don't really have much to say about undergrad hiring. I believe the decision between ranking & reputation and money will differ depending on career goals and personal circumstances.
For people who want to get into private equity or a hedge fund, there's really no amount of money that would be enough to go to a lower ranked school. To get into these professions you need to really lock into the ultra-elites. People with preferred backgrounds can get to these places from elite schools as well (investment banking analysts, blue chip work experience, etc.) and they know who they are. But if you don't have that kind of stuff, an ultra-elite school is probably your best chance.
Those interested in big time banking (in more normal years) and big time consulting should limit themselves to schools where these firms have a strong recruiting relationship. This would typically be elite and ultra-elite schools. The benefit of holding a top scholarship at a somewhat lower ranked school is that you'll likely breeze onto all of the closed interview lists because recruiters love to see that on resumes. For example, I wouldn't venture below the elite ranks if you're looking for an investment banking job. But, an extra $90k in tax-advantaged interest free cash could make a measurable difference in your lifestyle after graduation for years compared with if you go to a higher ranked school and end up in the same job without the money.
If you're interested in something else (like marketing or management roles, etc.), it's best to understand the types of firms that recruit at the various schools. Personally, I don't think any inducement could have convinced me to look below the elite ranks but that was based on long-term career plans. I know there are people out there who just want a nice stable job for the next 20 years and I also know people who don't intend to be in the job market for a very long time. In these cases, it makes sense to minimize education costs, so perhaps a big scholarship from a lower ranked school could make a lot of sense.
One more thing to consider is that ultimately, it will be up to the individual in the interview hot-seat to close the deal on any job. And, no matter which school you decide to attend, you will be that person. I think most people who have been through MBA recruiting will tell you that once you get into that interview room (and certainly when it comes to final rounds), school affiliation makes little difference. If you nail the interview or case, you'll get the job. If you screw it up, it won't matter much that you're from Harvard. The various schools will definitely offer differing recruitment opportunities, but just remember you still have to close the deal yourself.
Of course, an additional benefit of attending higher ranked schools is that you'll have more options for internships and full-time positions. This is a great benefit if you don't know what you want to do - though your pocketbook will hurt if you take a marketing job and work alongside folks from lower ranked schools who had full scholarships.