Root for Xperia Z3 D6616

Does anyone know if there is a working root for the Sony Xperia Z3 D6616 (T-Mobile)? I just got upgraded to 5.0.2 but the battery life is awful now. I know the biggest hurdle is that T-Mobile has locked the bootloader. I have tried giefroot, towelroot, and some other solution that involved sideloading the adb drivers but I can't seem to get anything to work. In addition, I would need to back up the DRM keys so I dont break any of the Sony apps I want to keep (camera apps). Build No: 23.1.C.0.385