I couldn't have said it better than Bianfuxia. If you didn't get a driver here on the forum or some other website, then there are always tons of drivers waiting at the train station to take you. However, it may be A: difficult to negotiate a good price, B: hard to communicate your destination details with no Chinese, and C: difficult or impractical to arrange a return ride. But if your Chinese is pretty good, you would likely be able to manage.
For Delphine, when I said the towers were in better condition on other parts, I was thinking of sections like Jinshanling which have been heavily restored.
And for the water, yes, I think if you planned well, you could easily refuel. I stopped short of my goal, but if I had kept going, I would have passed another town as well. I don't know about the full week depending on your speed, etc, but for the majority of that week you could probably remain within a reasonable range of civilization if you needed.
Hope this helps!