Well, I've personally taken 25 elk and have been in on the taking of around 100 others. The 7-08 is a great deer and pronghorn round and is more than adequate for elk, my cousin's wife uses it, but in my opinion it is a 200 yard round for elk. Pushing it to 300-400 yards is asking for trouble because the case lacks the capacity for the needed energy at that range.
My opinion mind you, but you did ask. Feel free to disagree but chasing a wounded elk in rough country isn't a fun activity and should be avoided.