When I was a kid, my brother got his falconry license. We built a weathering with standard stick-frame construction on pressure treated 4x4s, open on the bottom. It was 8x8, with 3 sides of T1-11 sheeting, and the fourth side being a single large door with chicken wire. We used pea gravel as the floor. It worked fine, especially for young, agile children. (He was fully licensed in every way, as I recall, at age 12)
If I were going to do one again (here in this area), I would largely keep the same design, but add a standard 36" (or bigger) door on another side. Our winters were/are quite mild, so the open side was never an issue in that respect, but it was sometimes a nuisance because it was often convenient to be able to "black out" the bird, and we had to use a tarp draped across the opening. A sliding or rolling mechanism to close off the open side would be nice. (We didn't know any better or really care as kids, so climbing up on the roof to drape a tarp was fun.)
In Reno, you'll have colder weather to deal with, so will need to adjust your plans accordingly to climate control the structure, I imagine. You may want to go to a weathering adjoined to the mews, where the mews is insulated and smaller (depending on how much space you have) while the weathering is open and airy.
Most of all, though, I'd suggest talking to the falconer to whom your wife is apprenticed and see what he and the other falconers in your area recommend, like, don't like, etc.
I don't know if you're just getting into this or not, so if you're already licensed and know what you're doing, I apologize. In California, at least, one can't own a peregrine or other falcon until out of their apprenticeship. That doesn't really change anything about your constructions project, but you'll end up having to work closely with the falconer to whom she is apprenticed. You'll also need to get the mews inspected and approved by the state first. You should really solicit the input of the local falconers, since their assistance will be needed to get her apprenticeship and everything else.
I'm happy to offer any other help I can, but I'd really suggest finding the local falconers and going from there. They'll have experience in what sort of structures best function in that area.
Merry Christmas!