Common app only allow to apply 20 colleges. So you will research which college accept Coalition or other application system. If you don't care the school ranking, you don't have to apply so many. But if you have to pay full tuition, it's better to try more schools since you might hit a good school.
Also George Washington University, American University are also very good for target school. Definitely try Georgetown in RD. Villanova is also a good choice for ED2.