How set are you on consulting? From my research, it appears easier to break into MBB from Tuck than Stern. Then again, Stern doesn't release very detailed employment reports, so it's very hard to tell.
There is much more to the world of consulting than MBB. Most people (regardless of school) who want to get into consulting do not go to MBB (especially for their internship). I understand that those are the top 3 firms, but sometimes I get the impression that people think they are the only 3 firms and that it's a given that if they recruit for consulting that's where they will end up. It's an unrealistic expectation that gets perpetuated by conversations like these.
OP, look at the full range of consulting companies recruiting at these schools (both on campus and off campus). Talk to students who recruited for consulting internships at both schools. That will give you a better idea of how likely it would be to make the career switch from either school. Also understand going in that there are many more positions available for full-time consulting jobs than for summer internships. Best of luck with your decision.
True that mb/b/b aren't the only firms, but its certainly a good indicator of a schools consulting strength. If a school places well with m/b/b then they will likely place well with any consulting firm. It's a good relative measure for those interested in consulting and deciding between top tier schools.