Out of SC public universities, USC Aiken, USC Upstate, and Winthrop appear to have racial/ethnic demographics similar to the state of SC, although the state demographics may not be the same as the demographics of college-age people in the state. SC State, Francis Marion, and Lander have a higher percentage of black students, but lower percentage of Latino students, relative to the state of SC.
https://www.census.gov/quickfacts/SC
https://www.collegedata.com/cs/search/college/college_search_tmpl.jhtml