zlacker

> it allows me to represent the fact that I don't have gender feelings. But it doesn't allow me to represent my biological maleness, in fact if anything it seems to deny it.

You can identify as a masc nonbinary or AMAB nonbinary. These are distinctions that are pretty common to use in the LGBTQ community which is why I suggest not just reading up and thinking but actually going to a community and participating within it. Your local group may even be able to introduce you to other AMAB NB people that you can compare and contrast experiences with.