I agree with the two wheeled bike principle; the front wheel will cut a path for the rear through the snow.
You need to ask yourself if you'll always be able to dig down on ice or do you want to float over it, like a mud bog. This will decide thin vs wide vs really wide tires.
I did my paper route in all kinds of snow and ice as a kid; the wheels as long as they're spinning offer substantial gyro help in staying upright. If you have no pride you can ride splay legged, using your boots as outriggers for balance.
With the trailer/sled, try to rig it so you have a bunch of tongue weight if you want it to push your rear tire down for traction... and vice versa if you need to float.
Lots of variables to consider.
You need to ask yourself if you'll always be able to dig down on ice or do you want to float over it, like a mud bog. This will decide thin vs wide vs really wide tires.
I did my paper route in all kinds of snow and ice as a kid; the wheels as long as they're spinning offer substantial gyro help in staying upright. If you have no pride you can ride splay legged, using your boots as outriggers for balance.
With the trailer/sled, try to rig it so you have a bunch of tongue weight if you want it to push your rear tire down for traction... and vice versa if you need to float.
Lots of variables to consider.