ClearBlue - the girls in our district rock climb, hike, camp, kayak, canoe, cook over fires. They also may have a karaoke or spa night in a year, usually tied into a theme around media and image, peer pressure, or some of the WAGGGS goals around Thinking Day and looking at how women/ girls live in different parts of the world.
Our older girls come from three different schools in the town, and it is interesting (to them, as well as me!) that even in this microcosm, each school has it's own expectations of how girls should dress and behave (in terms of fashions, make-up, hobbies etc). The chat usually looks at peer expectations as well as formal school views. We usually use that to consider a wider scale of global female expectations both in the west and elsewhere. Sometimes we run a 'come as you would dress daily if there were no social expectations' night and we get everything from pjs to ball gowns. We are encouraging girls to find themselves, not to be defined by anyone else's expectations, and to have the courage to BE themselves. No one gets ostracized for either liking boy bands and glitter or for spending weeks under canvas in the wilderness with nothing but a water filter and a jet boil. They are all respected for being themselves.
I like to think that these girls have a safe place to discover who they really are, by being provided with (and organizing themselves) a vast rage of activities to try. They are all respectful of each other's choices, and we try to give them the freedom to make those choices. Including the option to head straight for the hikin' camp in' climbin' etc.
I don't believe they would get that freedom in scouting - and guiding provides all the same options as scouting, plus the activities that scouting disdains. That's not to say that I disdain scouting in any way. I have also been a scout leader (and am well versed in the outdoor arts lol). I actually see the same issues for boys that you are concerned with for your girls in guiding - in scouting their opportunities for choice are actually limited to the traditionally 'masculine'. Scouting and guiding should be places where these stereotypes are broken down. I can do that in guiding, but experienced more issues with doing the same in scouting (not from the boys, I hasten to add, but from other leaders and parents). It's interesting to me that guiding is trying to broaden girls' horizons and provide limitless opportunity, but that (some) parents want scouting to actively limit their daughters options, and are disdainful of the choice offered in guiding. I kind of get it. I mean, I was that kid who utterly eschewed the feminine and wanted to join the Marines.
In my day, no girls were allowed into scouting. When they needed female leaders as not enough men were willing to become scouters, and scouting was dying on its feet, they had to let in girls, and suddenly a whole swathe of girls and parents decided scouting was 'better' (understandable - we were all about the 'equality' and crashing into male dominated bastions etc etc). I probably would have done the same, myself. For me, the choice would not have been about scouting having different and better options, it absolutely would have been about proving that I was better than the guys at all that outdoors shit (I joined Air Cadets and did the same, although I never did manage to persuade the Marines to take me lol ;-) ) With a bit more maturity, I can see that choosing scouts would have just limited my options in the same way that you are concerned guiding does for your daughters.
Anyhoo - there is room for us all. I must get back to planning the October night challenge. Over 500 unaccompanied girls roaming the woods at night taking part in challenge stations, practicing their team work, and competing against teams from hundreds of miles away. They love it in exactly the same way a group of scouts does.
And I will continue to facilitate a cringe-making (for me) karaoke night if the girls want one. Last year one of the girls used the opportunity to practice her dj skills as her dad has all the gear. She set the whole evening up, as a follow on from a music appreciation night, where we looked at classical instruments, pop songs, and even a didgeridoo that they all tried to play... and randomly the most popular tunes in this group of early teens for the karaoke were the Disney ones. Amazing what happens when kids get the opportunity to be themselves lol.