It depends on where you shoot your elk and how the snowpack is!! Sometimes you can ride the carcass down the mountain (provided you cut the rack off first
UNLESS you have to drag it UP hill first!...BTDT, ain't fun
OP - don't forget your blaze orange. When I lived in CO years ago, it was mandatory.
I would bring a second pair of boots to the base camp so you can let one pair dry whole you're hunting the next day