Any situation that floods that area is going to be well beyond 100-year floods, likely beyond 1000-year, and (like the 1927 flood) predicated on catastrophic levee failures that result in the Mississippi being over 100 miles wide.

Is it possible? Of course. Is it likely? No. Would there be much bigger issues than a server farm being offline? Yes.

The worst-case scenario from a storm that hits locally (which, e.g., the 1927 flood was absolutely not a consequence of - it was water from upstream, which climate change will weaken because of decreased snowmelt) is like Harvey over Houston (similar terrain). But this is much farther inland and could not replenish itself from the Gulf.

That said, it is in the middle of nowhere.