There are tons of schools which are targets for conservative, affluent families.
Trinity, SMU, Colgate, Sewanee, W&L, Rollins, Flagler, the Southern flagships, University of Tulsa, Oral Roberts… depending on how conservative and what else the kid is looking for in a college.
I still believe that a kid with conservative leaning politics can find his or her philosophical peeps everywhere. Even the most “left wing” university. But it will require the ability to keep quiet about social issues/personal identity. Everything else will be fine. But if you’re the kid telling your gay suite mate that he’s going to hell, your life might not be as much fun as it would be if you can just live your life and find your own friends/social network/political besties.