Things you can do to lighten a Model 70 (we'll assume a post-64 short action since we are going for light).
1. You can modify the tang to a pre-war style.
2. You can thin the recoil lug (leave a ridge in the center for stiffness and strength).
3. On the post-64, the magazine box forms the feed rails so the mag well does not have to be so deep. You can remove an eighth inch.
4. You can scallop the left side of the receiver ( like a BRNO ZKK)
5. You can turn the flat off the bottom of the receiver ring. While I'm not real big on this mod, it is doable.
6. You can replace the mag follower with an aluminum one.
7.Use pre-64 featherweight bottom metal (you have to shorten the floorplate)
8.Hollow the bolt handle and knob.
9. Ditch the middle screw.
With all of these mods, you will end up at a weight about the same as a 700.
As for the rest of the rifle, the formula is pretty standard fare. Skinny barrel. Lightweight stock. Lightweight pad. Don't add a bipod or a 2 pound scope. For light weight scope mounts, the old standard Weavers are pretty effective. GD