How Can Restart with This Girl?

Ok, so on Valentine's Day, I asked out this girl (I know, stereotypical and cheesy). Well, she politely said no and left it at that. We had rarely talked, but I asked her out because I had heard from my cousins (who I have since stopped listening to) that the best kinds of girlfriends are the ones who know little about you. Well now that it's been over two months, I want to be her friend, then ask her out again. I think she is starting to like me now, not to be conceited, because she has started to become friends with my friends for no reason. She has also been around me a lot lately, and she looks at me when she thinks I can't notice in my peripheral vision. She hasn't talked to me, but I have tried to her, but she is always swooped up by her friends who are like glue on her. How can I break the ice and be her friend now? I left an awkward sense between us, so that is also impeding us having a normal conversation. I'm not looking to be put in the friend zone so don't include warnings about that. If it matters, I'm not the best looking boy in school, but I'm decent. I have medium muscles with definition and a visible six pack but it is not jutting out like the body builders.