Yale SCEA vs Dartmouth ED

I am an international student from Egypt who lives in Saudi Arabia. I plan to apply both schools but I am unsure about which school to apply early to. I don’t want to waste my ED boost at Dartmouth by applying early to Yale when I don’t have a chance there.
My Stats: 1550 SAT (750EBRW 800M)
800 Math 2
760 Physics
4.0 GPA (That’s the maximum)
We don’t have class rank at my school but I’m in the top 10%
EC:
Went to Yale Young Global Scholars program last summer
Intern at a nearby company for junior and senior year
Participant in an initiative for teaching programming to Arabs.
Read a lot of books.
I’ve been a manager of a facebook group for 2 years.
Working out.
Honors:
A lot of awards at my school.
3 awards at my internship company.
An award for being in the top 1%in the initiative I participated in.

You have a chance at Yale, but (despite your excellent qualifications) it’s a small one (hey, that’s just how it is at Yale).