I attended UC Davis undergrad. It is very LGBT-friendly. Think SF, but if SF had a controlled population of just college students.
For living in Davis, basically any part of Davis is good. There is no crime, and you're like a 15 minute bike ride away from school even from the outskirts of town. Davis also has a good bus system, but you can bike basically anywhere in town really, really fast.
So I kind of recommend just getting a more inexpensive place. There's very little need to be within walking distance of campus; even if you are in the dorms, you'll still want to bike around campus.
I highly recommend the school, but it is extremely boring, with no great geography such as water, hills, or anything. You're within driving distance of basically some of the best parts of the US though. Yosemite, the Bay Area, Lake Tahoe, wine county. You can do your rendition The Hangover in Reno. The places that tbh a lot of people dream of being near.
So if you want to do that stuff, you'll need a car. Life without a car is fine, but you're restricted to the bubble. It's nice for a lot of people, though.