To answer the question directly, you do not need to take calculus, particularly as a non-STEM related major. Any college will offer a college level calculus if you need it for a requirement later in college.
My recommendation would be the AP Stats course. It is generally an easier math course, gives you the option to receive college credit, and shows rigor. Intro courses are typically not that competitive, and you don’t want to appear to “slack,” especially if you’re trying to contend for merit consideration or Honors college considerations.