is there a better bandage than this in a pinch ?

The other one is to keep a tampon as well as it absorbes bloods from major cuts.

Here's another "Lady Item" that will work in a pinch: Sanitary Napkins. I know all you guys are saying, "EWWWWWW", right now but think about it. They're sterile, can cover larger areas than any band aid, and can be wrapped with bandages to keep the injured area/wound clean.