Auburn is a good suggestion.
You might also look at Cornell’s Department of Animal Science and its Department of Art. Both are strong programs; however you’d have to ask them about minors or double majors as they are two different schools within the university.
Skidmore which is in Saratoga Springs, according to its website, “boasts one of the nation’s top intercollegiate riding programs.” Also a strong art department.
Some others to look at for equestrian teams or clubs and good art departments are Hamilton, Williams, Vassar, Kenyon. Smith and Mt. Holyoke if you are female.
You should retake the ACT to try to get your score up a bit. Or try the SAT.