"But they're inmates! They shouldn't have committed the crime!"
They're humans. Incarcerated at your will. You have responsibility for them. They can't do anything about it.
"But criminals!"
No cruel and unusual punishment. You sentenced them to incarceration. Not death by natural disaster. If it's bad enough for an official mandate to leave, it's bad enough to figure out the logistics.
I love it when the real world suddenly faces trolley problems. Makes me feel all warm and fuzzy.
Philosophy: what happens when "that'll never happen" happens anyway.
But hey, you do you South Carolina. Just don't complain if things end up going badly, and your State ends up host to one of the most gruesome corrections system mishaps and constitutional rights violations of our Nation's history.