Search Results: how long to wait before i ask her out again

Need some relationship guidance and advise..

I met this girl over the summer, everything was going well, met her family and she met mine shortly after.. everything was progressing really fast but felt right. right before I left for a month long vacation she said she wants to get to know me better and as more then just friends. Two days in a row while on vacation I didn't message her and she got distant from then. Once I got back I asked her officially out and she ended up saying she couldn't commit and didn't feel the connection and wanted to be friends - I initially said yes, but then went No Contact, but only for 2 weeks.

I started texting and tried to build up the attraction again - this went for about a month and I met up with her. However I brought up the relationship and what had happened for her to go cold (my mistake) As soon as I did she backed away more and said she needed time to be normal with me again.

A week after, I reached out and said let's just be friends and she agreed. She was still however distant and barely texting back - 1 response back every few days - I asked her why - she said she was really busy.

This week, I tried calling a few times in a row and texted her to meet up - she didn't pick up nor has she responded. Complete silence.

Background on Her:
-she's been super hurt in the past and runs away when things get serious
-she was in a seriously relationship 5 years ago and hasn't been with anyone since (3 years so far)
-She's protecting her self from getting hurt again (self-preservation)
-we only talked for a few months and weren't really boyfriend / girlfriend.
-I never kissed her
-she definitely had strong feelings for me before I left on vacation
-she likes attention and flirts a lot
-I think she might be playing the field a bit

What is my best approach for one day having a relationship with her?

1) Should I text her saying that I'll give her time and wait until she contacts me?
2) Should I go no contact on her for a month or two and then reach out?
3) Should I ask her what she wants and go with it?
4) Should I try to be friends so she can trust me without being scared and hopefully bring down that wall that she now has up.

I know she's worth it and will do anything right now to increase my chances to one day be with her. I know I made mistakes - this situation is just tricky and I really don't know what to do.