I can only share my experience in Iceland... I shot a lot of photos with my 100-400 (birds and arctic foxes). My 24-70 was also heavily used. My 24 TSE and 17-40 were only used for a dozen of shots. I was using with 1D bodies.
If I had to do it again, I would take my 24-70, my 70-200 (+ 1.4x extender). This covers 90% of my usage (with a full-frame camera body). I'd add the 17-40 if I had room to spare. I must also say that I rarely use very wide lenses.
How about asking Daniel Bergmann?
My list was selected at Daniel's suggestion from about twice the number of lenses I mentioned. I would like to leave the 300 mm lens at home because it's so heavy and my copy doesn't work well with the 1.4 extender, but otherwise it's very sharp. I suspect the only use it would receive is shooting puffins. Would the 70-200 mm F4IS on 40D be a good alternative to the 300 mm on a 5D MkII? The FOV is about the same, but the 5D MkII is such a sweet camera. Alternatively I could crop the 5D MkII images and still come out somewhat ahead of the 40D + 70-200 combination.
Like you, my two favorite lenses are the 24-105 and the 70-200, followed by the 35 mm F1.4. I don't normally shoot very long (>300 mm) or very wide (<24 mm). I have a Tokina 11-16 mm F2.8 lens that is much better than my Canon 17-40 F4, but I doubt I would use it very much on this trip.
Normally I'm not so indecisive about gear choices because my wife helps out a bit with transportation (she's a good Sherpa <grin>), but not on this trip. Another option is a rolling hard case that I could lock and check at the gate.