If you want to swim, relax, trek without anyone interruption from the outside world, Lubang Island is the right place for you. When I visited in 2010, they didn't have any signal for globe users. I wonder if that changed now?
Lubang Island is a small island in Mindoro. The place is not very touristy and undeveloped. They have electricity and water but after 7PM, there are not much to do. Almost everything is closed apart from the karaoke place that is open until midnight.
As for the accommodation, I don't know any hotels or B&B as I stayed with my friend's family. This website might help you though - http://wn.com/Lubang_Island_Tourism_Sites