Everyone here seems to either hit the nail on the head or at least close to it. It all depends on the degree desired. If you want to work for a highly competitive company as your end goal, you'll probably want the bigger name. But things like engineering/nursing/LEO/etc, you just need the piece of paper stating that you went to an accredited school.
That being said, I LOVE OU. lol. It's a great school for the degrees they offer, even if it's not Ivy league/MIT/CalTech, and the atmosphere is wonderful. Plus, it's relatively cheap compared to most big schools.
I know what you mean, we are an OU family, my wife and I have our Masters from OU and our daughter would love to go there. She wants to run cross country and track though and OU isn't offering so we're looking at some schools where she can run. So far we've been to Oklahoma Christian, Southern Nazarene, and Northwestern OK State. We have Southwestern OK State this week, Oklahoma Baptist next week, then Rogers State the next week. It's busy but fun.
We have enjoyed all the visits and have learned a lot. They all have solid nursing programs so it'll come down to where she is most comfortable.
She'll probably go to OU for her Masters after she gets her BSN.