The limit on the 30-30 is not its ability to kill well. Its limitation is range only. A 170 grain 30-30 bullet works very well. I have several friends who are working cowboys and they have probably killed 30 elk including a few big bulls, with 30-30s.
If you hunt in the timber where shots are close, you will not have a problem.
As Gott said, Archers kill them with "sharp sticks". I killed one that way myself.
Shoot carefully and you'll do fine as long as you don't try to kill them on the other side of a wide canyon.