What are your financial constraints? Are you a NYS resident? Can your family afford private school tuition or do you have to do SUNY (like my kids)? You also have to consider how many of your credits will transfer to another program. How wedded are you to being near NYC?
My son is at SUNY Fredonia, which is not near NYC but since we live in a bedroom community of the city, he was eager to get away. He just transferred from the theater tech BFA to the regular theater BA. I have observed that his school casts BFA MT, BFA Acting and BA Theater students in its shows. S17 has told me that non-theater majors have even been cast.
Closer to the city, there is Sarah Lawrence, which is very expensive, sticker price wise. S17 has a friend there and she has had numerous acting opportunities. She’s a theater minor. It’s a non-audition program.
SUNY Purchase is also well known for acting, but I am not sure how many transfer students it takes. There is a non-audition theater program but I don’t know anything about casting opportunities.