3 other posters have suggested Pepperdine, but OP does not want to pay airfare to west coast.
I agree, Pepperdine would be a great fit. OP should NOT let her D visit Pepperdine, as that would immediately be her top choice if she ever saw the campus! 
We have 2 friends who have students at Pepperdine and both love it, coming from Minnesota.
I think you have done your due diligence and have put together a strong list. Good luck on the applications. I will be interested to see what your D thinks of Davidson, as we liked it, but it did have a bit of a party vibe there with the D1 sports for such a small school.