In reply to madmags: I was in Peru a couple years ago climbing for six weeks. Internet connections are very good in just about every town. Cheap also
Not sure about cell coverage it is very good in most areas but not likely to extend to the remote valley's. I suppose you could look at buying a throw away when you get there and most of the villages that you come to that are open and close to a major hiway may have reception. Cost no idea.
Sat phones where mostly carried by Western guides and not locals because of cost. I honestly never saw a sat phone carried by a local or westerner in the three trips to Peru that I have taken. Though we carried sat phones on Aconcagua mostly to phone home.
You could perhaps rent a sat phone before leaving and check out the cost for that kind of plan. I know I would be worried about my daughter also. Keeping in touch helps even if you can't do anything.