Javandane-
I'm in the same boat! I'm from the Chicago area and I work in the city (Northwestern U) every day, so I thought I'd take the time to talk to admissions counselors at the schools I applied to (U of C, Loyola, NU, Rush, Finch, UIC). I sent e-mails and made phone calls, and everyone was so nice; as a result, I'm meeting with admissions people at UIC and U of C this week! I've also had a "phone meeting" with a counselor at Drexel. The only place that said I couldn't meet with an admissions dean was NU- I guess they want to keep the butt-kissing to a minimum. 😀 So yeah, contact everyone you can and try to make a meeting. Obviously, going in person is best for both the meeting and for the opportunity to see the campus.
With regard to specific questions to ask, go to the website and research every link that interests you and you're bound to have questions. With Drexel, I asked about their curriculum, research opportunities and their associated hospitals. It was very laid back, though, and it's not bad to ask general questions about the application process as a whole. For example, I asked him whether or not extensive research experience would be seen as a particular strength in an application at Drexel or any other school and he gave me a very detailed answer (he said it's paramount!).
Oh, another thing: make sure to give the admissions person an idea of where you're coming from. Tell him where you live, where you go to school, what kind of school (e.g. state school, tiny liberal arts school, etc.), and what you think your strength is (e.g. research). We're all a little different and they need to know particulars beyond MCAT and GPA to assess your situation.
Hope this helps! Best of luck! 👍