I shot both my antelope with my .338WM this year. Plan was to let the wife shoot first and asthe goats move out to a farter distance if they presented a shot I would take one, as luck would have it I shot both of mine 100 yards or less. So to say your .300WM is too big I disagree...I had no meat loss.
But in reality I think a 243, 25.06 or even a .270 would be a great choice!