We have a very old Marlin 336 in .35 remington, I haven't tried to date its serial numbers but greater than 40 years of age. Killed my first whitetail with it last deer season. My father and his father have also taken deer with it. 3 generations of being a dependable deer rifle.
We also have another 336 in .30-30, newer but it has also been a dependable deer rifle.
If you do buy a 336, consider buying one with some age. Get one old enough that it isn't made by Remington. Quality apparently went down a bit when that happened.
I'm not saying don't get a winchester, but the 336 will do the job for deer hunting.