What are the tuition fees across all three schools?
In my opinion, I will go with the school with the highest funding since they are not M7 to T15 schools.
Furthermore, since your preferred post-MBA industry is consulting, I would recommend that you consider Rice University. It is renowned as one of the best in the South, with a robust alumni network. You would also want to consider Texas because of the renaissance ongoing in Austin regarding consulting and tech companies opening regional offices there. Additionally, I know a few people who secured internships there. But, like I said, it is my own opinion.
I am aware that Vanderbilt is strong in operations around CPG and health, while Simon is known for finance and is also the first STEM-MBA-certified business school.
That said, keep in mind that these schools aren't typically target schools for MBB (McKinsey, Bain, and Boston Consulting Group).