Actually many schools did mandate the flu vaccine this year, in addition to the covid vaccine. We don’t yet know if schools will relax those policies.
I would look at religious colleges, many of which didn’t mandate the covid vaccine this year. I don’t think the VA or FLA publics required covid vaccines either, maybe look elsewhere in the south.
There’s also this article Most of the 50 Largest U.S. Universities Aren't Requiring Students Get COVID Vaccine