Ah love these threads, telling someone else what to do
I would go a little differently to everyone else, the weight issue is not that big imho, the difference between your heaviest and lightest option is not much at the end of the day.
I am a believer in using your best lenses when ever possible, so I would be packing the 17-50, 50-135 & 55-300. I don't know the 10-17, but if space permitted and you know how well it performs I would also include that. That's gives you a range of 10-300, some f2.8 options and quality.
I would never leave the 50-135 home, and my betting is that it will spend a lot of time on your camera.
Have a great trip.