I just can't help but think you want her as more than friends because of how adamant you are about being friends. If she hasn't talked to you in a while after dumping you, why is it up to you to chase after and pursue some kind of friendship? Just because you want it so badly?
Don't delude yourself and think that just being friends could springboard you back into her life. And do you really need her as a friend? Or do you want her as a friend?
I think you should just take it easy for a while, give it a couple months on your own without trying. I don't think she will make an effort to contact you and you can focus on organizing what's going on with you.
Waking up next to a beautiful girl,
Step outside and say hello to my beautiful world.