Personally I do not think the 35 Remington is going to take you where you want to go. Unless you hand load it and shot a heavy cast bullet around 1800 fps. And I do not think that is where you are thinking about going.
Have you seen the cowboy models in the Marlin 1894, and 1895?? They have a longer barrel, and more heft. And if you are shooting factory loads only then you can shot the loads that several mfrs. make for cowboy action shooting.
Alot of people look at PSI and muzzle energy as what it takes to kill a deer dead. However I do not subscribe to that. I know for sure that a large, heavy bullet is devastating to deer, and not so devastating to meat. That is why I like the big bores. The 35 cartridge is at the very bottom of the big bore list. IMO it does not quit make the list, however I wil admit that I really like my 358 Winchester, however it still has that "crack".
Try to find a cowboy action shoot some where in your area. And try shooting the longer CB rifles with the CB action ammo. I am sure it will do what you want to do, and the way you want to do it.
Personally I am a single shot person. Below is a Low Wall in 45 Colt that will easily take a deer at 200 yards with a Keith Style 255 grain bullet that I cast, and push with 19.5 grains of 2400. Nice rifle, not a big "crack" recoil is very manageable, and a 45 caliber hole in anything I shoot, if there was no expansion at all(not hardly). Tom.