I don't see what the problem would be. Don't listen to the naysayers here - if you take the kid with you rock climbing, sky diving, or extreme skiing with you, the Grand should be a snap. If the others on the trip are like minded new parents, just remember to bring some issues of Negligent Mother Magazine to put over by the groover. They'll be grateful to you for years for all the tips and tricks!
And to give yourself a little more time for hiking or just kicking back with those ice-cold PBRs and shots o' Jim Beam in camp, make sure to bring some Sparties - you'll only need 3 or 4 for the trip. Why fill a big drybag with disposable diapers when you can just tuck a few of these in and be set for the trip? Don't worry about the 5-day limit thing on the package - you can always get a few extra days out of them!
Have a great trip and tell us how it goes. Its so heartwarming to see you want to give your kid the experience of a lifetime before you send her off to work in the textile mill.
And remember - the family that floats together boats together! Or something like that....