Well the rule of jailbreaking is stay at low version of iOS as possible bcoz latest version takes much time to search any vulnerability & then implementing it in making of Jailbreak,So stay on 10.3.2 while keep an eye on jailbreak of latest version on internet, also keep a copy of IPSW file of latest version of iOS on your pc bcoz if there will be a vulnerability in that iOS version, Apple will surely try to unsign it so before Apple unsign it you can flash it in your iOS device and wait for jailbreak to come,
also there is a app which gives you root access to system folders of iOS without jailbreak, so you can install save games files ?, i think it is also compatible with iOS 10 give it a try download link below
https://filza.org/download/