Chance me for SUNYs?

Stats:
Female
NYS Resident
Currently a junior, just began 2nd semester
3.17 UW GPA, 3.22 W GPA, hoping to bring it up as much as I can.
I was in a psychiatric hospital freshman year & am hoping to include that in my additional info.
Haven’t taken the SATs yet, but I took the new PSAT. 1240/1600 (660 CR, 580 math) - this is with no studying whatsoever, so I’m hoping my score will improve.
Planning on taking the Literature SAT II & some CLEPs.
Taking 3 IB classes this year (History of the Americas, Bio HL1, English).
The plan is to take 5 IB classes next year (Psychology SL, Math Studies SL, English, 20th Century Topics, Bio HL2) & possibly Univeristy in the High School Sociology.

Majoring in adolescent education (English, grades 7-12).

Chance me for these schools?:
SUNY New Paltz
SUNY Stony Brook
SUNY Geneseo
CUNY Brooklyn
CUNY Hunter

Also, any other SUNY/CUNY schools I should look into?

Also, is there any possibility I could get into NYU Steinhardt? Or is that just impossible?