SATs aren’t everything, nor do I normally post on the topic of tiers, but are you sure that Binghamton is in a substantively lower category than some of the Universities you list as top publics, and all of those you list as the next tier?
Binghamton: 1203-1385
UICC: 1190-1380
Wisconsin: 1190-1340
Florida: 1170-1360
Washington: 1100-1360
Indiana U: 1060-1290
Penn State: 1070-1280
I’m a little surprised a Binghamton student didn’t comment before I did. They all must be busy studying.
(Source for SAT scores: USNWR Best Colleges, 2015 Edition.)