Well, you can try as a reach, but it’s very reachy - it’s a top school nationally. Average GPA is about 3.6 and sat in the 1200’s. Very very few students with your stats were admitted, and they were likely highly sought after athletes.
Obviously, work hard and do try and apply, because you never know… but focus on finding similar universities.
For all it’s worth, Pepperdine doesn’t strike me as preppy per se but rather as glitzy, Which is different. (Also, it’s evangelical, when 'preppy ’ tends to mean mainstream protestant or catholic.)
USanDiego would be close in environment and would be more accessible to a B/B+ student.