I was in the same place 2 years ago. Then I had so much fun with all my new friends that I decided to join the committee that arranges each years’ reception. I would recommend saying something like “so everyone knows, I stutter, and I find it really difficult to introduce myself like this... <name>” So you can pick words yourself that suit you, and then if you get that “I can squeeze my name in here without stuttering”-feeling, say your name