Like you said good SAT score worth a lot. My daughter has weight GPA of 4.75 (7 APs) like most students you have. But her SAT 2400 and recommendation from U Penn due to her Gold keys on writing cracks the door open.
She got $49,800 scholarship plus $5,000 financial aid from U Penn yesterday. U Penn is her early decision school and it is her dream school. She only applied one and she got it.