Personally, i think .243 Win. is too light, goats especially have lots of muscle. Dall sheep are as big as a nice whitetail, and need a similar gun/load for clean kills. I also like a light weight rifle for mountain hunting, and mines a 7 Express Rem.. (.280 Rem.)
I shot the Dall in the pict. with a 7 Rem mag, with a 140 Nosler partition.