My daughter scored well on the SAT (the old version) but nothing spectacular.
She had excellent teacher references, was involved in school, Church and community activities and a 3.99 HS GPA.
It's been 5 years since she entered Pitt as a freshman student, so I can't remember all of the details, but I know that she didn't ask to be assigned to a certain dorm - she was randomly assigned a single at Holland.
You are right - a 10 minute walk isn't bad at all. My daughter's apartment was on McKee Place and she had a minimum 30 minute walk to every class.
Duquesne is also nice - she thought about going there but liked Pitt better.
Duquesne is a private college, so they will usually give money in academic scholarships. My son will be a college junior in the fall and goes to a private college that costs $24,000.00 a year, but he gets academic scholarships that cuts the cost almost in half.
Heinz Chapel is gorgeous, isn't it?

Although we were a little upset at first on her insistence in getting married an hour from home, once we went inside the Chapel, we were sold on the idea.