While the paper ballistics don't show it, the field performance of the .35 Remington puts it just short of the hammer of Thor, if you put the bullet in the right place.
Stick with factory loads, or handload equivalents. DO NOT try to make the gun a magnum. IF you want that, get something else, like a .358 Win or best of all (if you can take the recoil) a .350 Rem Mag.
Way back when, Remington and Winchester comepted with very similar rounds in .25, .30, & .32 calibers. Winchesters were rimmed, and Remington's rimless. The exception was the .35 Rem, for which there was no direct Winchester competitor until decades later when the .358 came along.
The .35 Rem survived, and the others didn't, because Marlin chambered their 336 in it, offering a bigger stick than the Win 94.
You've got a fine woods deer/black bear gun there, and I wouldn't feel undergunned on moose or elk at close range. Enjoy it!