Sometimes, 60 seconds really isn't much. If tech, civics, and district placement line up, you can easily need more time than that. I think that the best way is to just have no turn timer at all, and rely on people to act end their turns in a reasonable time. I think that this is the best way to go. If you're stubborn and think you can win, then you're welcome to try, but don't be surprised if it ends up just making things worse for you. Possibly. It might be easier to have separate sets of game rules. For example, one announces that they're hosting a game (or looking for somebody to actually host) with the 'standard' rules, or with 'advanced diplomacy' or somesuch.