First off, if she couldn't take your anger once, she's not gonna take it again, or ever.
Second, You Broke Up, grieve, and then get on with your life.
By begging her to be friends means you're willing to give in at the drop of a hat, knock it off.
Once again, and pay attention, You. Broke. Up. That means the relationship is OVER, done, finito, wave bye-bye, aloha, auf weidersehn, sayonara, and all of the other words that mean "good-bye".
That is my advice to you.