One of my high school players, rated around 1500, on the county champion, 3rd-in-state chess team I coached, went with his parents to visit Princeton Univ. in your state of New Jersey. They had the captain of Princeton's chess team waiting there to play him. You could ask there or at other colleges near to you.
UMBC - my alma mater - outside of Baltimore, Maryland, which beat #1 ranked Virginia in basketball's March Madness, is always ranked extremely high in chess:
OUR LEGACY:
- PAN-AMERICAN INTERCOLLEGIATE TEAM CHESS CHAMPIONS
- 1996, 1998, 1999, 2000, 2001, 2002, 2005, 2008, 2009, 2012
- A record 10 times!
- NATIONAL COLLEGIATE TEAM CHESS CHAMPIONS
- 2003, 2004, 2005, 2006, 2009, 2010
They mostly recruit people who are masters or candidate masters but their program includes improving players and would be a GREAT place to do so.
Information is here: https://chess.umbc.edu/
I heard Harvard's chess team is mainly 1800s.