Wehn my oldest dd was 11, my parents took her on a road trip in Canada. She still talks about it, and she will be 17 in a couple weeks. We also don't travel much, so it was a great treat. I think it made her feel grown up and independent to go smewhere without her mom. My parents are different from me, in their skills with kids, but having been raised AP, she was confindent and secure enough to deal.
She got to meet some of my parent's friends, who were impresed with her, treated her like an equal, and still ask about her. She got to see seals, meet new dogs, take boat rides, try new foods, learn a little French, geography, history. Much more interesting and educational than school. (my parents were both teachers, and took us places all summer, every summer. I know I learned a lot being "world schooled" on those summers on the road)
I know some kids have so much bloody homework these days, but she can do it--make it up! You can help her, if you feel it's worth it.