Since you are in Idaho, I might look at both U of Utah, and U of Colorado Engineering, as well as Colorado School of Mines. Girls do fine at Mines but it is still 65% boys. Mines feels like a private school, as its 5000 undergrads and a few thousand masters and PhD students. All Mines graduates get job offers. Offers were focused on jobs in Texas, California and Colorado petroleum firms, and mining firms, but the mechanical engineers also get offers in aerospace, which is hiring like crazy in Colorado and Los Angeles. U of Colorado is reasonably supportive for girls, and engineering is smaller than you might think there, and hard to get in, direct admit engineering, but collaborative. CU engineering offers pre-engineering for students without BC Calculus and a strong physics background in high school. Mechanical engineering in particular is very strong at U of Colorado and Mines. Mines students tend to go for aerospace jobs, Ball Aerospace in Broomfield, Lockheed Martin in Littleton, CO and Harris in Colorado Springs. Mines and U of Colorado also place a lot of students on the west coast.
I also second Case Western. At Case, Mechanical and aerospace engineering are one department and NASA Glenn is the research lab on the train between Cleveland International Airport and Case Western. The top Case students get into MIT for grad school in aerospace and mechanical engineering, if thats a consideration. Case is more the overall size, at about 4000 plus PhD, MBA and law students. Its an overall strong university with a core reading and writing program, so important for engineers today.