I have used walk behinds exclusively since 1956 for snow removal. My first was an early David Bradley, the early version that the cultivator hung from the handle bars with rods. I had saved all my chore money and bought it from a neighbor lady who's husband had passed. She would not sell it to me because I was a little boy. I had to get my Dad to go with me to get it. We dragged it home with a rope and my Dad got it running for me. I used it one or two winters with the forty inch snow blade. It had bald car tires with chains. It would push good straight ahead, but tended to slide sideways with the plow angled. The worst problem is that it had no reverse and with the David Bradley when you pulled it backwards, you had to turn all the gears in the transmission. When it was cold below zero, sometimes the wheels would not turn as the friction in the transmission was more then the the friction on the snow.
My Dad found a David Bradley Big Five and we bought that. It had more power, not that you needed it for snow removal. But it still had no reverse. I ordered a reverse kit from Sears and installed it. That made a world of difference in operation. You could push the reverse knob which would reverse the wheel ratchets and drive the tractor backwards, or just push the reverse rod enough to reverse the ratchets and you could now pull the tractor back without turning any of the gears. This made operation quick and easy.
After about five or six other tractors, we found a 1936 Shaw Du-All D4T. I did not know the year or the horsepower at the time (4HP), but this tractor had 3 speeds forward, reverse, and power turn brakes. We built a snow plow four feet wide with a good curve to the moldboard that would angle left or right with five positions. This baby would run circles around any David Bradley. You could plow at a nice walk in second gear with the plow angled and it would not slide sideways. You could use high gear but you really had to trot to keep up with the tractor. The power turn made turning a full blade of snow easy. I have never seen snow that I could not handle with this tractor and it is still used today. The snow plow will go on this weekend.
The whole trick to plowing with a blade is to push the snow back far enough on the first storm so you will have room for the snow that falls in the following storms. I also have used a Gravely with a snow plow and that is a very good tractor also. The 4.00 X 8 diamond tread tires with chains seem to work the best. It is too hard to steer with the dual wheels attached. The instant forward/reverse clutch is the most valuable feature on the Gravely. My second favorite to the Shaw.
My current driveway is about ninety feet long and twenty five feet wide. I use a 5660 Gravely with a 34 inch blower for most of the snow now because I do not have room to pile it all. The Gravely will throw it fifty to sixty feet which eliminates the big piles. We had over five feet of snow last year on the ground between the last week of January and the end of February. There were only about four days above 30 degrees so there was no melting. That amount of snow is difficult to deal with if all you have is a blade and no room to push it. A good walk behind will serve you well, and walking is good for you.