I've heard of a few Men's Circles around LA; there seem to be more Women's Circles, but it's still a thing. And the idea is just what you're talking about, and

I've heard of a few Men's Circles around LA; there seem to be more Women's Circles, but it's still a thing. And the idea is just what you're talking about, and really, it's just an application of the support group idea: A group of people with a shared experience get together to talk about it. There is an experience of "being a man", and there's an experience of "being a woman". Things really only get tricky when you have people with both experiences.