I've killed more elk with a .35 whelen than any other cartridge. About perfect for elk hunting IMHO. My dad and all his buddies did all their hunting including lots of moose and some elk with Remingon pumps and semi-autos. All of that crew shot 30-06's. So I know from personal observation that your Remington pump 35W will do the job.
The only reservations I would personally have is as previously mentioned they must be pumped with authority when loading a round. That lack of quiet loading may be or may not be an issue in spot and stalk hunting with a guide and the usual empty chamber.
And the triggers are mushy and heavy on most Remington pumps, which a good smith can rectify.
That's it for flaws. they are accurate and deadly.
Have a good hunt!