Were any of you able to attend non-Jewish social events while in the closet?

I'm ITC and I really want to start talking with people from outside the bubble, but I'm worried that even if/when I get the courage to temporarily take off my yarmulke and tzitzis, my short unshaved beard (I'm in one of the communities where you're never allowed to shave) and my "frum accent" (not sure what's the official name of that) will give me away as a 'weird' person, and the fact that I'm introverted in general doesn't help. Would love to hear the experiences of other people