Ya'll are obviously from Washington.

Here's the question: does your daughter want to bet on herself? If so, how much?

I'm speaking to TECHNICAL DEGREES here. Let me be clear that this advice DOES NOT APPLY to any training that isn't going to result in a concrete, income-generating skill. Particularly ones that require access to resources to cultivate. This basically means: Engineering, Computer Science, Math, Physics, Chemistry and maybe biology depending on how she plays it (If pre-med then NO if research then YES). If she wants to study unicorns in 18th century transylvanian pop-culture then definitely take the free ride.

I've been on both sides of the coin and, believe me, every student at a top-level engineering school like MIT has access to opportunities that the #1 undergrad at UNO cannot even imagine. Companies like, google, facebook, GE, etc literally line up to court students there. A motivated undergrad there, even one who's 'only' in the top 20% (whatever that means at a place like this) would have the opportunity to work in world-class research labs potentially leading nature-level publications, to use world-class facilities (Fully-equipped machine shop, PCB printers, Circuit/Computer chip design studios), to intern with top tech companies, and to network with other students who are going to end up in very high-level positions. The result is that if your daughter is talented in this way, she will be able to refine her skills to to whatever level she desires. For example, if she decides she wants to be a computer engineer, she would be designing ten-year-old computer chips in her sophmore/freshman level classes, interning at intel over the summers, and producing a commercial-level design for her senior thesis. If she wants to go to grad school for science or engineering (NOT Medicine), this would open doors that might never open otherwise. I think this would apply to UW.

Conversely, having a 4.0 at UNO doesn't really differentiate you from anyone. And, access to research and internship opportunities is severely limited so that even if you have the talent, you won't be able to refine it past a certain level. Now, long-term this is really more of a head-start than anything and with enough hard work and perseverance anyone can get access to similar opportunities - it's just a lot harder. Not having any debt would also create a lot of opportunities.

Note: Medicine is unique in that numerical measures trump everything. UNO is a place where she could graduate in 3 years with a 4.0 and use the extra time to study for the MCAT. If she's applying with a 4.0/41, then she's going to have a shot anywhere. And the lack of debt would be a HUGE plus.

tldr;

Math/Science/Engineering: U.Washington (If tuition is under ~50k)

Pre-med: UNO

Anything Else: UNO

All the other places you mentioned are in the middle and essentially carry the disadvantages of both.