If I would go for a 3 lens setup, they'll be: 24L II, 50L, 135L
If I would go for a 2 lens setup, they'll be: 24L II, 50L
or 35L, 135L
If I would go for a 1 lens setup, it'll be: 35L
3 batteries are more than enough.
For me, f/2.8 is too narrow for available light shots, and I don't believe you'll be needing the 16-24mm focal length that much during your trip. So, unless you don't own any fast wide primes, I suggest you better leave your 16-35L II at home
Have a nice trip, and we'll be waiting to see the photos when you're back!