In several posts you made it clear that the debt is her fault. But anyway, I just wouldn't phrase it like that to her. This is a message board so I'm sure you aren't talking to her like that. Just tell her you want to face those things together as a team like you did and you're fine.
It's not Wyoming as a whole, I would just rethink the Casper thing. I've never met anyone who wanted to move to Casper for a better life outside of money reasons, and I certainly wouldn't think the kids would have a better experience there without you seeking out opportunities for them like travel. The kids may not be as entitled but all the kids there are rancher or oil/coal kids. Many have no interest in education because they want to end up on the ranch or the oil rig and can be entitled in their own way. Casper is the same distance from the Grand Tetons as KC is to Mark Twain National Forest, so you won't be upping their national park exposure as much as you'd think.
Wyoming does have awesome benefits like you said with no state income tax (may change with the coal issues). But why not look at Laramie or Cheyenne? Both are super close to the Snowy Range and Vedauwoo (I love Vedauwoo). You can drive 20 minutes from Laramie and camp in the middle of nowhere without seeing anyone for days. The University of Wyoming is fantastic and have amazing goals for future academic opportunities for students. Cody, Sheridan, even Gillette would be better options in my opinion. Just giving my two cents as someone raised in Wyoming, who has left but still loves it there. Feel free to message me if you want to ask more.
I don't and it's not a fault thing, just a fact. She accrued it in college.
I figured something coming along to help get that monkey off our back would have appealed to her.
I see that it is still far from the "big" national parks, but Bighorn National Forest is about an hour and half away. That could be a day trip of hiking if we felt like it on a Saturday or Sunday. 4.5 hours to the Mark Twain National Forest is at least a weekend. And then make a comparison of that 4.5 hours and see what more there is around a town like Casper compared to KC. I think within that range, the Missouri/Arkansas border area has some decent areas to visit and a few places hiding away in Iowa. From Casper you have the Tetons, Yellowstone, Bighorn, the Blackhills, Medicine Bow, areas in northern Colorado, Little Bighorn.
Cheyenne and Laramie appeal to me as well, but as I mentioned a little earlier, she had specifically called out Casper as a place she liked and as another poster mentioned, they wouldn't recommend Wyoming but the only other place they'd probably recommend less is Kansas.