Are Ivies out of reach?

I am a native of Ann Arbor, so I am in state for Michigan. Also, my mom is on the faculty.

The schools I am sure I want to apply to are Yale, and UChicago, but those are reaches, and UMich, but I dont know where else to apply to. Please help me!

Scores:
ACT: 35 (Eng:36 Math:35 Reading:36 Science:32)
PSAT: 1480/1520 (likely National Merit Semifinalist but I don’t know yet)
SAT: 1560
Subject Tests: Math II: 800 I will be taking more of these soon.
GPA: 4.0 (out of a 4.0 scale)

Classes:
This year I am taking AP English 11, AP Calc AB ( as a junior), AP Chem, and I am taking the AP Spanish test (not the class).
Next year, I will be taking AP Physics C, AP Statistics, AP Computer Science, and AP English 12.

Extra Curricular:
-I play for a recreational soccer team for the last 3 years
-Have been playing chess for nearly 10 years, have a rating of 1800.
-Strong showings at the state tournaments.
-I play classical guitar
-I am part of National Honor Society
-Member of my school’s SADD club (Students Against Destructive Decisions)
-Member of Link Crew, which helps incoming freshmen adjust to highschool. I don’t know if this matters, but I have not done very much with this club simply because it does not seem to be a very active club.
-Founder/President/Captain/First Board of my school’s Chess Club
-School didn’t have a team for some reason so I made it, and in our first tournament we placed second in the state, which was really unexpected. I also organize matches against other schools.
-Member of Peer to Peer, which creates programs at my school to raise awareness for Depression, de-stigmatize it, and help people get the resources they need to get help. This is a big part of my highschool career, and I am very proud of what I have accomplished. I could definitely write a good essay about this.
-I do a bit of photography, haven’t done much, but I upload my photos to Flickr and 500px.
-I speak English and Romanian fluently

Other:
-Participated in MMPC and AIME math competitions. Scored in the top 100 math students in Michigan.
-Took the State Level of the National Chemistry Exam, don’t know how I did yet.

Jobs:
-Over the summer of 10th grade I worked at a summer camp.

Volunteering:

  • I volunteer pretty infrequently at a volunteer Tap/Brew house that donates all profits to the homeless and helps create community gardens.
    -I am part of a volunteer club at schools where I restock food pantries and take care of children at certain programs.
    -I do about 3-4 hours of volunteering every week.

Would Ivies be reasonable to apply to?

Congrats!
With your stellar profile you’re definitely a top student!
Personally I cannot pinpoint any particular red flags at all so personally I would say you should definitely apply to ivies
But don’t depend solely on them
Im pretty sure you’ll get into michigan which also happens to be world class
Have a fair balance in your college list (even your safeties will be amazing institutes lol)
Think about whether you’ll be able to afford it? What is your intended major? That also has significant impact
Best of luck!

Ivies are always a reach although your chance should be above average applicants there. UMich is pretty much a safety for you from in state. What is your intended major? It seems you are not interested in engineering anyway.