To answer your question about a "male-only" space and what it might look like: I'll give you an example in which I currently participate.
We have a once-per-week Zoom call between a close-knit group of men who discuss our lives...what's stressing us out, what our fears our, what have been our latest successes and joys. We ask for feedback or request consent before giving each other advice.
This may sound like an anecdotal example...and, to some extent, it is. But it certainly seems to have been beneficial for all of us who are able to participate. The broader question is: How could activities similar to this be scaled up for a wider male population, especially in light of financial, technological, and time constraints?