While some kids undoubtedly can enjoy non Greek life at UA the school itself boasts the following…
“The fraternity and sorority community at The University of Alabama is one of the largest and most vibrant in the United States.
With around 12,000 students, the UA Greek community comprises 36 percent of the undergraduate student body and is home to 71 social Greek-letter organizations. Since Fall 2011, The University of Alabama has held the coveted honor of being the largest fraternity and sorority community in the nation with regard to overall fraternity and sorority membership.”
If trying to avoid a meaningful and dominant Greek culture I suspect best not to go to the school with “the largest fraternity and sorority community in the nation”.