my kids are still young, so I don't have the experience in my pocket as a parent.
that said- my brother and I both did around that age... as did my wife (to japan and to europe). so while everything is still abstract for me, I'm going to say yes, you should. 7 girls offers protection against 1 of them or somebody near them acting or trying to act poorly/stupidly. fantastic opportunity you'd be providing for her, IMO. and especially with smart phones, youll be able to get check-ins almost to the minute rather than an occasional call or postcard if the mood strikes her.
my response is more of a blackdot for several years from now when my kids are of this age and wanting to do cool stuff like this- hope I remember my answer now and don't freeze into terror driven paralysis.