Rhodes College in Memphis, TN should be looked at by the OP; it is a very good LAC, and it gets a good number of Texans who are shut out of the automatic in-state admissions.
Admission to UNC-CH is unlikely, based on the test scores of the OP: if you look at Carolina’s Common Date Set in Section C7, standardized test scores are a “very important” admissions factor whereas academic GPA and class rank are “important” admissions factors.