Scouter, you must be reeeeal good with your 357.
How could you say maybe elk with a 357, and then maybe to a 308? Unless you suck with your 308 and are good with your 357! Otherwise, the 308 seriously outclasses the 357.
BTW, we got our elk last year with a 308, no problem.
Of the three you mentioned, the 308 would be the most versatile.