Here are some schools that endorse the Chicago Statement on Freedom of Expression: https://www.thefire.org/chicago-statement-university-and-fac...

It's a diverse mix of state universities and a few elite private ones. No right-wing captured institutions as far as I can tell.

Being right-wing is not even a positive indicator for liberal values and support of free speech, IMO. Right wingers just cancel people for different reasons. Liberal values are not on the left-right spectrum in 2021, if they ever were.