my late hunting partner carried a BROWNING BLR 358 win for the last 16 years,we hunted and constantly kidded me about dragging a cannon around for hunting with my 340wby and 375 H&H for most of that time,and yeah I still do, looking back on 40 plus years of hunting elk,all I can say is all three rifles killed both elk and mule deer and over that whole time frame I remember just three times either of us had an opportunity too take a shot at game at over 300 yards so the extra range potential of my 340wby was not a huge advantage.
pick what ever your comfortable with and practice a good deal, the 358 win and 35 whelen have the advantage of cheap 308 and 30/06 brass