Submit Writing and Non Writing ACT?

I took the ACT and got a 33 but without writing, I retook it with writing but only got a 31. Will schools let me send in both and count the 33 as my composite? I know some schools do and some don’t. When I ask admissions counselors I get generic responses like “We require ACT plus writing” Does anyone know if these schools will let me do that?

University of Texas-Austin
University of Southern California
Northeastern