I'm curious as to what region you work in. I ask because in Silicon Valley I've seen a ton of female EMs.
In fact, my first three jobs all involved reporting to women for a good chuck of it (and they all reported to women too). Those women were all fantastic managers too. Great mentors and great empathy.
Now that I think about it, they were all promoted to management via internal promotions given to them by female managers.
So maybe one tip for you is look for an IC role that reports to a woman who is interested in mentoring you into management?
I don't know what magical place you work at; at the smaller (<250 people) places I've worked at, I'm the most senior woman as a Senior Software Engineer.
There are Female EMs at my current employer (enough that I can't just count them), but they are a tiny minority and I don't know of any at the level beyond that. It is a strategy I've considered, though... especially because women just seem to understand me much better.
In fact, my first three jobs all involved reporting to women for a good chuck of it (and they all reported to women too). Those women were all fantastic managers too. Great mentors and great empathy.
Now that I think about it, they were all promoted to management via internal promotions given to them by female managers.
So maybe one tip for you is look for an IC role that reports to a woman who is interested in mentoring you into management?