Honestly? I've never been to Nebraska, Iowa, or South Dakota. Since (in my view) they're all next to each other, I would visit all three. Arriving as late as I am (and probably everything's closed anyway), and being on West Coast time, AND nothing to see, I'd just crash in Sioux Falls so in the morning I can just mosey on back down to OMA.

I know it makes sense on some level

But thanks for the suggestions... keep them coming!