For a long time the ultimate elk rifle was a Winchester Mdl 71 348 Win. Herds of elk fell to that rifle, and I still consider it a great choice for elk.
That Remington pump in 35 Whelen is its equal, easily. I think a fast handling rifle like yours in a hard hitting round that reaches to 350 yards has many advantages as an elk rifle.
500 yard on out sniping might be somes' hot button, but for realistic hunting your just fine with that Whelen. I've often considered one for the hunting around Libby MT.