I always loved the look of the classic swamper tread design.
From what I read they do well, and much better on side hills than boggers. I considered the TSL SX but they're heavier and while the side tread looks great and helps in rocks I'm not sure they're worth the weight in snow.
And from what I hear the SX has an even stiffer sidewall, and softer sidewalls are better for snow.
The other popular option is Iroks, in 36x13.5.
My main criteria was maximizing footprint while not breaking axles. I used height x width as the driving footprint factor. 36x13.5 = 486, while 35x15 = 525.
The Irok is a "big" 36, more like many 37s. 37x13.5= 499.5, still less than the TSL.
Assuming footprint area directly correlates with traction force, a shorter tire will stress the drivetrain less. Going from 35x12.5 to 35x15 increases footprint and stress by 20%, all else being equal. Going from 35x12.5 to 37x13.5 increases footprint by 14% and stress by 21%.
The 37 may actually perform better with the extra inch of clearance, but I decided to err on the side of safety as I'll already be pushing things a bit. Not to mention the fender clearance issues with 37s.
This isn't really aimed at you, I'm just using your comment as a prompt to lay out my thought process here.