You should treat yourself by googling Polari, an almost indecipherable gay cant that is sadly now dying out in the UK. I think you would find it fascinating with your interest in language.
Gay culture exists, but it isn’t as concrete in some ways as Jewish culture. Sunday Brunch is de rigueur among certain gay men, with certain foods and drink popular. Common musical and film interests can also define gay culture, as can certain mannerisms and styles of speaking.
I could identify myself pretty easily to many other gay men by just dropping a few cultural references.