To me sports are all about competition and making war. I don't really see the point for girls. It seems like they should focus on things like posture, poise, balance, flexibility (the old walking with a book balanced on her head routine, plus a lot of stretching). Also, some kind of general fitness, everyone needs cardio, but that isn't sports.
Dancing is something girls usually enjoy and as long as it isn't "dirty dancing," i don't see why it could not be a part of home life.
Boys learn sports/fighting sports at home, from their dad and brothers. They use books and videos to study the basics of a sport and then use each other to practice on. That can be enough; sort of like "home sports," to go with "home school" and it can really rock n roll, if dad sets it up (even better if he has learned to compete himself -z.e.r.-, so that he knows what he needs to teach them to win) and mom supports it.
Of course, with that foundation, there's all kinds of other things they can participate in, in the community, to take it further, but then they risk "exposure" to "the zombies"