I hope you can travel solo in ladakh for sure. but first try to visit near by places of your hometown. gain confidence then try to go for solo trip like ladakh.
Hello,
If you have visited so many places previously and you are a good rider then definitely you can try for solo trip. Otherwise recommended way will be try with friends or join some travellers group.
If it is going to be your first solo travel, and you know the do's and dont's then Ladakh is a safe place for girls to travel. As a traveller I would suggest, if it is your first travel, travel via group, visit the place, feel the place, and henceforth go for solo travel in future.