Thanks for clarifying. You have a great profile. Hopefully, you are aware that while Bowdoin is need blind and meets full need for international students, they determine what your need may be. Have you run the net price calculator for Bowdoin? Did it show they would meet your full need? Please do this before completing an ED application. It would be unfortunate to receive an admission only to find out the aid is not sufficient.
Good luck to you!