Also, women who don’t support any men in learning Torah (like if they are single) probably aren’t “yotzei” by watching other men celebrate. It makes sense that they should have their own celebrations.
Yotzei what? There is no chiyuv to celebrate Simchas Torah by dancing. Dancing is just a minhag, and a relatively recent minhag at that. A beautiful minhag, to be sure, but still one that is only a couple of hundred years old. In the not too distant past, Simchos Torah was primarily celebrated by a festive meal, as recorded in the Shulchan Aruch.
Those women who do enjoy watching the men celebrate, and do feel part of the celebration, (much like what happened in the Bais HaMikdosh by the Simchos Bais HaShoaivah) will continue to celebrate Simchos Torah in the traditional way. And as DY pointed out, from the high attendance rate of women in Shul on Simchos Torah it appears that many, if not most, women do indeed fall into this category.
For those who have no interest in watching the men, there are many other ways for them to celebrate; by partaking in the celebratory meal, as mentioned in the Shulchan Aruch, or by attending a shiur as some here have mentioned. I don’t see any reason to suggest any drastic departures from tradition.