One other consideration is that Marlins made during the last six or eight years of so all have 6-groove Ballard rifling with allows one to shoot cast bullets more readily. Formerly Marlins had the Microgroove rifling wich works fine with jacketed bullets, but the small lands and grooves sometimes leaded rapidly if cast bullets were too soft.
I have a "family" prewar 94 Winchester that will shoot 1.5 MOA. I have a 94 Big Bore in 375 Win that "patterned" instead of grouped because the screw at the end of the magazine was bearing on the barrel way too much and affecting accuracy. I altually removed the mag tube and fired it single shot and got less than 2 MOA. So I filed off the screw tip and kept the front band screw loose as well and it still will do 2.5 MOA or less.
For Marlins, I have three M39 .22 levers, an 1894 in .357, and 1894 in .32-20, a 20" 336 in .30-30, a .375 that shoots 1.5 MOA, and two 1895s, one a first-year 24" from the 70s with Ballard rifling, and the second is a 2000 year 24" 1895 with the new Ballard rifling and a trigger break to die for. All the Marlins wear either Lyman, Redfield, or Williams Foolproof receiver sights with blanks replacing the factory rear sight base in the barrel dovetail.
I would not hesitate to get an older Winchester, say before the 80s when they started getting low-cost and the ownership kept changing. But it might be tough to find your 16" tube. There's something alluring about Winchester 1894 and 1892 actions and all the little "snicks and clicks" as the lever is worked.
All that said, my preference is obviously Marlin. Even though I have the Winchesters, I handle them only to dust and re-oil. The Marlins get fired. IMO and experience they have the more consistently better triggers.
You said the 'b' word, so if I were you, I'd consider a Guide Gun in .45-70. It does deer with 300 gr JSPs just fine, and has enough a$$ to do for bear. You can always find a taller pack; to quote Robert Ruark, "use enough gun".
Another option would be to buy used at a show and have a good 'smith shorten the barrel and mag tube. That mod would not be more than $150 or so, definitely less than $200 including bead blasting and reblueing for a really sharp matte finish that would hold the oil.
Noah