@my2goldenapples, I’d encourage your daughter to attend THINK for a summer. The kids are her own age, AND at her level intellectually. My kid was a little nervous before going, but she had an amazing time and made some great friends. She has a few she is still in regular contact with, and also she kept running into kids from THINK at accepted students visits for college, too. 
So even if she doesn’t want to attend the academy during the year, the 3 week THINK experience could be great for her.