Vassar I believe has a drama department that anyone can choose for a major. Whether you get cast in a production is another story. I think that’s audition based. however there are other opportunities on campus with many student productions. It’s on the train line Metronorth to NYC.
I would also check out Bard. On Amtrak line to NYC
I think Wagner requires an audition.
I think that Drew does NOT require an audition.
Skidmore does NOT require an audition for the major but does for the productions.
Barnard/ Columbia does NOT require an audition for the major
Wesleyan U does not require an audition for the major
I would also check out Connecticut College,
Wheaton College in Mass
There are probably several others!
I am no expert in this area!!