Ouch man. Personally I dont think her "shit test" was a typical shit test, considering she was a virgin before and you two had more of a relationship interaction. I totally understand the urge to get upset, so don't beat yourself up over that.
The second thing to remember is that PUA will only take you so far, and sometimes a person just has desires that extend beyond attraction techniques. Maybe she is just taking a different path in her life. She could already know she wants to go a different direction but likes the comfort of having you in her life on some level. Not saying this is the case, but be aware that this happens to everyone and you will do yourself a favor by accepting this simple fact now (it'l help your interaction with her too).
So what to do? Since shes being distant and you dont know how to proceed, i think you should relay that emotionally u are still connected to her to reassure her you two have that bond. Acknowledge that first over text or whatever you prefer in a non-AFC way. Ex: I want you to know Im thinking about you. Miss your smile!!
This will make her feel just safe enough to let herself be open with you without pushing her away. this on its own wont cure the situation but its the best start.
Hopefully this starts a casual dialogue, build some threads about something relevant. Bridge this to getting her over to your place somehow that doesnt imply anything sexual, like a movie you both discussed and want to see.
Be calm, friendly, confident.. basically the guy you were before you got emotionally invested in her. Build that friendship but use kino techniques so you dont get put in the friend zone, such as a light arm around her shoulder AFTER you've built some good rapport again while on the couch.
When the moment is right, start a casual dialogue (i.e. dont talk AT her) about how you two vibe well. Come to the conclusion (almost as if just occured to you from your time together) that you value her friendship, and its better for both of you not to put labels on what you two share.
This will help reserve all the over thinking both of you are doing, and open up a new "safe zone" for the girl to explore herself with you.
The goal is to be that guy she can talk to and desire physically at the same time. You dont want to address hooking up with other people unless she asks you directly what the rules are. If that does happen, just say, "I know we are both individuals with our own lives to live, and i think thats normal. Lets just enjoy the moments we do get to share."
Since youre on a time crunch you can probably fit in a date a week, but it can't be preplanned and pressured. It has to come off slightly spontaneous and within the "safe zone".
Bottom line is she's curious as to whats out there. Shes not attracted to other guys as much as she is drawn to the mystery of what she can possibly have is my guess. Your job is to show her youre the complete package without saying it bluntly. Once she deals with a few chumps who only possess one or two good qualities she will value you so much more. You keep in touch with her during her time away... keep it friendly but keep the chemistry at least a little alive so you dont get put into the friend zone. By the time she returns she will probably have missed you quite a bit, and things will fall into place.
Again, this isnt fool proof but i think its your best shot. Good luck!