Chance me for top boarding schools

Take a look at George School. They can definitely meet you on the cs/robotics front, and they have hosted speedcubing events. Also known to be generous with FA. Very strong STEM. And definitely not as competitive as the rest of your list.

@cinnamon1212 gives great advice above. Most schools don’t admit a lot of students in 11th, so it’s often important to be the student they feel would really add something.