Yep it's a 150 yds cartridge (just like the .30-30 if we're being honest), but it's 200 gr bullet does better on deer. I've hunted with a Marlin .35 for 35+ years, killed better than a dozen deer with one and not one ran farther than 50 yds. Hit in the slats, the 35's a through and through cartridge leaving a good blood trail for a short trail up.
Exit holes with Remington's Core Lock 200 gr RN are over an inch with chest cavity placement. Penetration is not a problem, nor is bullet break up. I also like and use RCBS cast 200 gr FP at 210 gr, a FP well worth trying, and every bit the equal to the Remington, Speer, Sierra and Federal 200 grainers.
Accuracy runs 2" or a bit less at 100 yds with a 2.5x scope mounted on my 336. If you get a Marlin, check out Marlin Owners forum for specifics on accurizing any 336. In my case I loosened the front fore end band and groups were cut in half. The 336, like the Winchester 94, is a wonderful deer gun...nestles right down in a gloved hand due to its narrow receiver. Even with a low power scope mounted, it's far better toting over hill and dale than ANY bolt action.
Peep sights are a good bet on any lever gun, and the Winchesters and Marlins in this caliber are well suited to its use. Accuracy, with a good gun/muzzle crown, can be relied on at 2" at 100 yds. (Even with my 72 yo eyes doing the steering). Light, easy to carry, & ideally suited to a saddle scabbard, the lever gun is a joy to use.
Back to the .35 Remington cartridge. Brass can be a problem, and nearly impossible to make from another cartridge. Buy it when you find it. Currently it's available as loaded Remington rounds here in Louisville. But Cabelas recently had Hornady 50 round count bags of brass available. I've laid 400 aside for use in my Marlin just in case.
Bullets: the best in factory rounds are Remington 200 gr Core Locks. Not currently sold as reloading components, but still available as loaded ammunition. They'll open up into perfect mushrooms at most any velocity over say 1500 fps all the way out to 150 yds. Hornady's 180 gr FP's are also good and can be loaded to over 2100 fps in my carbine. They have a good following for deer hunting and open up at carbine muzzle velocities (~2000 fps). The Hornday 220 gr FP is just too hard and can't be launched fast enough to open from a 20" carbine. Sierra's 200 gr RN is also good, equal in accuracy to the Remington, tho a bit harder, read; slower to expand on impact. In cast bullets, RCBS's 200 gr FP is excellent for accuracy but killing power, is due to through and through penetration, expansion being limited. It's a great bullet when cast from an alloy of 50-50 lead to wheel weights & gas checked.
All in all, the .35 is the perfect deer rifle for woods or timber hunting. Range is limited to 150 yds...but in all honesty, in 60 years of deer hunting, over variety of terrain in Washington state, Colorado, Texas, Connecticut, and Kentucky, of the more than 60-70 deer I've taken in those varied covers, I've killed exactly 2 at more than 150 yds...it just doesn't happen for me. And for that experience, the .35 is perfect. Scope it if you want (and have a 336 Marlin, or mount a peep on the Winchester or Marlin), and enjoy deer hunting as it was meant to be.
HTH's Rod