I went to a top 5 program, perhaps even top 3 depending who you ask.
I would personally go for the higher ranked recognizable program assuming we are talking Duke (Fuqua), Darden, Tepper, Cornell, or similar, and especially if we talking about Ross or UCLA (Ross in particular is severely under ranked and likely to move up in the coming years).
I am of course biased, but in my experience the name has substantial value, particularly in getting you the first interview (after that, its on you to get the job), and for that reason and that reason alone you should absolutely consider the higher ranked recognizable program. Do not underestimate the value of a brand name and associated alumni strength. This isn't just true for Harvard - ask any Ross alum, or Duke or Johnson and you'll find similar discussions about how powerful the alumni database can be when properly wielded. The same might be true of a smaller unranked regional program, but i doubt its as comparable.
Second, do you have copies of the employment reports? If not, go download them. It sounds we are comparing an unranked program to a prestigious one. You haven't talked about salary as a primary motivator, but you should look at this seriously. The difference between earning $100,000 a year and $60,000 a year over the next 30 years of your life is non-trivial. Or hell, post the names of the schools here and I'll do the analytics for you.
Third, do you have a unwavering understanding of what it is you want to do or are you considering alternatives? A unranked regional program with some strength in a highly focused area may be sufficient if you have NO desire to pursue "path B" - but if you are even remotely unsure what you want to do post MBA, the benefit of going to a school with reach and brand strength outside of just "green" (whatever that exactly entails) is substantial. In my experience, even the most dedicated of dedicated - the people who come to an MBA with a crystal clear understanding of exactly who they want to work for, doing exactly X, - even those people end up getting at least a little interested in other options. Maybe 5% - and I really think its no more than 5% - come in with a post mba goal and don't change their perspectives at all. You might be in that 5%, but odds are, you aren't (even if you think you are) -- and I can think of nothing sadder than getting to school and realizing that the higher ranked program would probably have given you a shot at a career you didnt even know you were interested in, but by then its too late. A lot of MBAs have a better understanding of what they dont want to do, than what they do, whether they admit it or not.
Fourth, there's an old adage that goes "location, industry, function, pick two". In general, thats true - most people I know, even those coming from top top top tier programs don't usually get to pick their dream job coming out. Going to school X because it happens to be in a city that you might want to live post MBA, feels to me, like you are playing incredibly long - and poor - odds. Especially if the city isn't a traditional magnet for MBAs. You have to seriously accept the risk that you may find yourself having to pick between the job you want in the city you don't and the job you dont in the city you do. It happens to a LOT of MBAs. Personally, and again, this is just my advice and experience - its relatively easy to change cities three or four of five years into a career (or even 10 or 20), its much much harder to change job function or industry. Again, for this reason, I'd advise you to go to the higher ranked program thats more likely to give you a breath of opportunities - whether those are in your desired city or not.
Fifth - I dont know what your expectations are, but similar to #4, you should consider the very very real reality that you dont get to go do your dream job, or even your 2nd choice or 3rd choice job. Schools like to pretend that they've got a formula that guarantees six figure incomes and a lifetime of earning potential. They don't. I've seen a lot of kids have to accept pretty substantial changes in their career plans - either because they were unlucky, the economy moved or shifted, they graduated in the "wrong" year, or they just werent cut out for a specific path.
Sixth - and im now kind of repeating myself, but I'll make this point as well. The "magic" of an MBA is that is a tabula rasa. You start over. A pastry chef can be a banker. A swimmer a consultant. An engineer a marketer. It doesnt matter what you did, how you did it, when you did it - an MBA gives you credibility in any field, anywhere. No other degree does that - and, again, in my experience, the value of a brand will open doors you didnt even know were there. Noodle on that as well.
FYI - I run my own MBA admissions consultancy , so I speak from years of experience and with nearly a thousand applicants under my belt. Follow your heart, but heed my advice. If you want to chat more via email or on the phone happy to (no charge, just happy to help).