Which brings me to my conundrum. Is it wrong to identify with a label if there is no way of achieving it? Like if there is no surgical possibility of transitioning to the body that I want, am I still trans?
I can not say this loudly enough, but fuck yes you are!
You don't have to use the label if it doesn't feel right for you, but if it does, it's yours for the taking. Being trans is about who you are, not what you do. Being trans or gender diverse is about saying "This whole sex and gender thing you've assigned me, yeah, it's not working for me". And that's you. What you do with your experiences is up to you, but the experiences are there and they're real, no matter what your external circumstances.
Ok, let me give you another produce perspective.
I had breast augmentation and it's been a huge source of joy.
But something else that's a source of joy for me is seeing the goofy smile of joy on a trans guys face, when he shares a photo of the first time he went swimming topless after top surgery.
You don't need to assume talking about the things you want will make other folk unhappy just because they don't want it. Play it by ear and respect people's boundaries if they do express discomfort and you'll be fine.