You may be better off attending one of your state schools and then trying to transfer. Or maybe you will surprise yourself and like it.
Most schools (though you should check) won’t take a standardized test score taken after senior yr. And going from a 28 to a 31 is not as easy as it seems anyway. In terms of your gpa, did your hs classes show rigor? Did you have honors and AP? Did you meet the requirements selective colleges are looking for in math, science, foreign language? That is just as much a factor as the actual gpa. And not all the schools on your list use the super score option which hurt you as well. It seems like you had a list of reaches and safeties, and did not have a true match on the list.
You may want to revisit the state schools you got accepted to and see what you can find to like about them.