Hi ZenYogi,
Product Managers are sort of CEOs of the product they’ve been entrusted with, and an MBA program is geared toward providing those multi-functional inputs. So, in a way, the entire program is geared toward a product management role. And one can always pick electives to customize her/ his experience.
From the perspective of what you’re looking at, the practical approach is to find where tech companies are recruiting in large numbers (these days, it’s at several places), shortlist few, and talk to current students or admissions/ career management office to peel one layer further to know how many of those are product management roles. (Some employment reports will provide you recruitment statistics on product management roles, but they may be inclusive of non-tech roles.) A good starting point will be schools on the West Coast, and you’ve already identified the top ones there. And as far as work permit is concerned, tech industry is one of the few which are amenable to sponsorship international students.