I would take the 24-105mm before i would take the 70-200, but that is just me. i swear my 70-200 weights 20lbs when it is in my camera bag
My walk around kit is: 5D3, 8-15mm fisheye, 24-105mm, and 300mm f4 IS. and 1.4XIII (insane range, light weight)
When I want to supplement that a little, I add my 17mm tilt shift, and 2XIII , an may swap the 300 for the 70-200
I always take a monopod if not a tripod.
Yes, get yourself a 2nd battery if you are a prolific shooter. One can sit in the charger back at the hotel while you are out.
No Flash?
CF Cards? Laptop?
If you are going to rent a car, 12V chargers, or a cheap $25 inverter for your 110V chargers can be really nice. All cars are 12V