Only know of one new BU Freshman from our HS that just went to BU. He is in the Univ. Professors program but I heard got a full academic scholarship. He is brilliant and an extraordinary musician among other things with a 2400 SAt and GPA through the roof. The averages on that web site are high. Still, you never know so you should apply. Smaller programs like that want a "well rounded" group sometimes more than a well rounded student so you could luck out if they have too many artsy types one year and you are a jock or too many leaders and you are more reserved.
This is the kind of question where a call to that program at BU would really help. My guess is your stats are extremely important so if you have that, which is impressive, you have a good shot so write the essay.Good luck.