It must be fun to have twins with similar interests! Only one ball game to attend at a time and one graduation!
It probably wouldn't be recommended to keep diapers on her all of the time. It's best to let her skin breathe sometimes. It might be in the risk of getting rashy otherwise. The vet should provide you with a cone for her to wear in as an attempt to prevent her from licking at her stitches. If you go the diaper route, you'd have to remove it for potty time.
Good luck!