Agreed that the issue around reproductive and trans health care is troubling-- it seemed like the college learned late in the game that the organization would not offer it and they scrambled last minute to find a solution. It’s not ideal and hopefully they have spent this year working on a solution for the fall-- I would definitely ask at visits/info sessions.
That said, our S is a first year. He’s not LGBTQ but his parents are 
-- so his awareness of inclusivity is acute. He has found Oberlin to be very inclusive and a warm environment for LGBTQ students and faculty. He also sings with a choir at a Presbyterian church in Cleveland that is led by an LGBTQ pastor and is very inclusive.
Recently I read an article about states that liberal kids are ditching for college (and conversely, conservative kids are ditching), and remarkably, Ohio wasn’t on the list. Perhaps because there are so many liberal arts schools in the state? I don’t know the reason but I was surprised.
Oberlin is definitely worth consideration, especially for a BA in Theater. If a BA is the goal, I would consider carefully schools that offer a BFA degree, as the opportunities for performance will likely go first to the BFA students in most cases. At the very least, ask about performing opportunities for BA students at those schools so you know going in.