It's more fine to be passing and open about being trans than people think it is.
The short of it is that people tend to give less of a shit about you being trans if you pass and even less so if you're pretty. I am pretty open about being trans, but as I started passing, women started treating me like any other woman and men started treating me like a woman, even people who knew me before transition and people to whom I'm openly trans. There is a difference between the sort of initial tentative acceptance people grant a visibly trans person and the unthinking acceptance people grant others they consider to be of a certain gender. The people with whom I get this most uncritically that I'm out to are people who I've met recently, which complicates the read a bit, but I think the point still stands.
I think we need to talk about this more because being stealth comes with some significant downsides - you have to work hard to keep your past secret and the fall of being outed is vertiginous. I am coming to think the best sort of transition is "need to know" - there's no need to tell your boss or co-workers, for instance, but I think letting others in your personal life know - without being outed by your body - is a true luxury.
The one caveat I'd like to carve out here is that I'm not straight and it is probably different for straight girls in particular. Men who are dating are a whole different beast and it's probably worth considering whether you want to narrow your pool to people who are cool with you having been AMAB.