RE: 308?
308....
Great Target Round.
Great Deer Round.
.... and exactly like you said in your post, " used for elk in a pinch."
I think you already understand the trade offs. Good job!
If you go for elk, then handloader1 offers some good advice.
Assuming you don' t already own a 270 or 30-06, then go for it and good luck!
Never Go Undergunned,
EKM