These are great options for women who workout indoors and outdoors (training and running). If you have flat feet, these recommendations are great for you. Keep an eye out for sales that drop every now and then on these sites.
Lighter than the Metcon 9!
Nike Metcon 10 Women's Workout Shoes
I use these shoes everyday and have been for over 1 year. They are comfy and I've worked out in them comfortably indoors and outdoors.