International student's chances at Tulane

Hi, I’m an international student applying for the fall 2018 term (Indian, if it makes any difference), what are my chances of acceptance? I will be applying for aid. There’s no way my family can pay over $25,000. Here are my stats:

SAT 1450, 21 Essay
5’s on both APUSH and AP Psych, self studied
Freshman year - 88%
Sophomore year - 94%
Junior year - 80%
Expecting 88% in my senior year midterms
My current high school is ranked third in the country, and notorious throughout the country for being tough on grading - they never give more than 92%. But I plan to have my counsellor mention this in her letter too.

EC’s -
3 years of MUN-ing, won several awards and chaired two
Debate Society, 4 years
Weekly volunteer at an animal shelter
Harvard College in Asia internship
Member of Social Service League (6 hours a week all year except summer, making and selling things for charity)
Member of Debate and Elocution Society in school
Worked in Literary Arts department for school fest (second largest in Asia)
Head of Literary Arts department for high school fest, attended by about 1k people
Private tutor for 9th and 10th grade Math
2 years basketball

I’ve also won awards for essay writing and English Olympiads, as well as had my poetry published in some magazines. There’s other extraneous fluff as well, like co-founded and editor of school student magazine in freshman and sophomore years (I transferred to another school junior year).

Tulane is my dream school, and I’m applying EA so I hope I can get in.