IF Op is applying to Stony Brook and Bing, applications are accepted on rolling admissions. it does not matter if OP is using the Common App or the SUNY app. Since Op presented no stats, we don’t even know if either school is a viable option based on his/her academic profile.
It is not necessary that OP submits his application at this time.Right now, if Op has not yet moved, Op does not have a high school in NYS. Op does not know what his/her CEEB code is, Op does not know what courses s/he will be taking in high school.
SUNY and CUNY automatically pulls transcripts for any students who applies and is attending a NYC public school. If he is hell bent on applying today, then he need to use the address where s/he lives today.
Op’s biggest challenge is that s/he may end up not being in-state in either Iowa or NYS.