Well you think it's a cop out, but I love getting gift cards and ask for them all the time. Since I moved out I've asked for gift cards for grocery stores and just places like walmart. I've also gotten gift cards for gas, which is always appreciated.
But you could make her a home made gift certificate for an afternoon of shopping. Then you guys could spend time together and you're sure that she's getting something she wants.
That's about all I got. Hope you find the right gift. Also keep in mind that I'm not exactly young like your daughter, but she is the same age as my sister and I've done the homemade gift certificate before because I had no clue what to get her.