UofU is only about 35% LDS according to this article. https://dailyutahchronicle.com/2019/05/10/religion-on-campus-more-diverse-than-rest-of-state-with-proportion-of-latter-day-saints-over-15-lower/ As you say, it is (theoretically) a dry campus; but it’s not as conservative as many people assume. SLC is fairly progressive in terms of public policy, and the U itself made a list of top 25 LGBTQ-friendly schools a few years ago. https://www.deseret.com/2012/8/21/20505767/university-of-utah-named-as-top-25-lgbt-friendly-school It’s somewhat lacking in racial/ethnic diversity, although no more so than CU Boulder (which has roughly the same demographics in spite of its liberal reputation and the mandatory “diversity” essay on its application, lol). There is phenomenal skiing only half an hour from the UofU campus so that’s a real selling point if your D likes to ski. Also, SLC is the seat of government in Utah so that lends itself to political opportunities. And there are direct flights between the DC metro area and SLC.
SUNY Albany is another urban public university that is situated in its state capital, and I’ve heard good things about their honors college. There are combined degree programs with their masters programs in international affairs, poli sci, and public administration.
Agree that UMinn could be a good option also, but their OOS merit aid has been getting less generous so you’d have to see if it would work cost-wise. Likewise with Pitt. Merit at Temple is probably more of a slam-dunk.
Good luck!