Through talking to other autistic people I feel like I can say this with confidence. When you have to get something out you gotta get it out. I regularly find myself with songs stuck in my head and the only way to get it to stop is to sing it. It is important for me to get it out otherwise I get stressed out.
Before my diagnosis, my ex used to get frustrated with me because we would be having dinner and then I would just start singing something. Before my diagnosis, I did not understand why I did it, but now I do and when I need to get something out, I just gotta get it out. Sometimes it has to be a couple of times before it goes but it goes away eventually.
Just remember if you are autistic and you need to get it out just do it. Don’t be concerned about the people around you. It would be worse if you kept it in and that lead to a meltdown.