Your choice would be between Alabama and Louisiana State. The two programs are substantially similar. The Auburn program was established only a few years ago.
The business school of University of Alabama has been rising visibly, as is evidenced by its entry -- for the first time since its inception -- in UTD Top 100 Research Ranking 2022. In contrast, the business school of LSU has never made it to the ranking. However, the PhD programs of the two schools are strikingly similar in terms of placements, etc.
By the way, a student from China once shared that s/he suffered discrimination in the LSU program and eventually withdrew voluntarily or was asked to withdraw. While being an exceptional case, this might be the cause for caution and a factor to weigh in the process of comparing and contrasting offers.