Do you think I should go to her doorstep?

Don't go to her door, she might be creeped out or get annoyed. If she has not tried to go out with you or make an attempt to reply to your messages, shes most likely not interested. Honestly, you should go after someone who will appreciate you and make you feel like your not a failure at life. Your only setting yourself up to feel like a failure by pursuing a girl who does not want you, and its because your in that mindset that your going to fail. I think you need more confidence before you think of doing something that major.