I’m not lgbtq and I know you are noting the state but the school is known to be friendly.
Perhaps the student can research schools on campus pride. U of A gets a 4.5 and my niece who works there says it’s very supportive. It’s super strong for the intended major. Why I mentioned it’s an in but not huge scholarship $$. My daughter at C of Charleston also says very friendly. Liberal city. Red state.
As for a 3.4 uw and 3.7, unfortunately it’s unlikely to sniff top schools. But trinity. Connecticut. Some of the lesser schools on the meets need list may.
Fill out a few net price calculators. See the amount and discuss with your folks what you can afford.