Honestly I would've just made an excuse like my sibling or friend grabbed my phone and started texting you while I was asleep, although it really sounds like a lousy excuse =p
You kinda put yourself in a hole, but I'm curious to know how it turned out for you haha ^^
I don't like to be preachy, but I think you just learned a lesson in trusting people.
Take it as a lesson, learn from it. And let her go. Continuing to call and text is not helping anything. Had you left her alone for a week, apologized, and told her exactly what it is that you did wrong, you might have been able to make something of this.
She was clear about what she wants, and you should respect her wishes. Get an apology out there if you have to (in the form of a text, email, or letter, don't try calling again; and a real apology, not just "sorry"), then leave her alone to decide what she wants to do.