i've always loved to sing to myself because i think my voice is so beautiful and the physical sensation would calm me down enough to sleep,
but i've dealt with vocal dysphoria and it has gotten so much worse in the last few years, to the point that sometimes it is too distressing for me to SPEAK let alone sing and i have not sung in years because of this
the time frame for when i'll be able to get hrt probably won't be until next decade but i'm planning on committing suicide before then and it makes me so so so sad to know that i will very likely never hear myself sing again.
I don't know if this would be of any help or if it's a shitty suggestion but if you have a pair of headphones that are pretty good at drowning your voice out, you can play a song sung by a man and turn it up so it "overlays" your voice.
I sing a lot as well. Sometimes I listen with one of the cuffs off/an ear bud out while learning a song, so I can hear myself and the singer, and doing that tends to change how I hear/perceive my own voice. I might think my pitch was higher, lower, vibrato more pronounced than it was. So, maybe this could be of some use? I hope this doesn't come across as "just do yoga" type of advice lmfao.
You wouldn't hear much of yourself but you'll still have the physical sensations.