Embarrassing question about my period? Women only please? :(?

I have the exact same problem, and I had to deal with it all throughout college. This might sound weird, but when I am on my period I just go in a public restroom and get a bunch of toilet paper and ball it up like a tampon and use that. It really seems to help when you have a lot of blood, and I would also ball up some extra toilet paper and put it in my purse for later. You can try this if nothing else.