On my first tour with my dog (only a weekend) I went to a place with absolutely no services all weekend. I had a GIANT hill to climb up the second day right off the bat. I filled my water bottles (and my dog's) from my 10L dromedary bag then dumped the rest of the water. The hill took over 1 1/2 hours to walk up with the loaded bike and trailer. I downed almost all of my water during that grueling walk. So no matter how much of a load you have to drag up a hill, never dump your water to lighten your load unless you know there's a refill waiting for you at the top.
Tiff