I don't know about snow, but wet clay is something that I have to deal with all the time. Add just a little moisture to clay, and it sticks to the bucket and especially to the bed of my dumptruck. I read where a guy used a product called Hammerite Rust Cap to coat his dumptruck. I think he used it to haul snow with, but I can only speak for myself and my personal experiences.
It's expensive, so I shoped around online and found a place that had it for a good price. I bought it, but it never showed up, it was never shiped and eventually, I canceled the order. Jamestown Distributors
Hammerite Rust Cap "Smooth Finish" Paint is where that guy recomended it, so that's where I ended up buying it from. I bought one gallon, but I'm sure a quart would be plenty for the FEL of a compact tractor.
It's a special epoxy type of paint that goes on very sticky. It's miserable stuff to work with. I used a roller and don't think it would be possible to apply it with a brush. It's developes spiderwebs and when you get it on you, it's there for awhile. Paint thinner didn't take it off, and only over time did it finally come off of my hands. Gloves would be a smart idea.
You can paint it right over rust, which was a good thing for my dumptruck bed. When it dries, it has a very smooth, glass-like finish. It's also very hard!!!
I was absolutley amazed and blown away at how well it worked. The wet clay that would pack into the corners of my dump bed and eventually get so bad that the entire bed would hold dirt and not dump 4 out of five yards, now dumped all of the dirt!!!!! I did this in the spring time, and ran about 2,000 yards of dirt through the bed. Not once did I have to use the shovel to clear the dirt. Before putting it in, I had to shovel out the dirt after five to seven loads. It would just pack in and stay there. Now it flows out so fast and easy that it's like having a brand new dump bed.
I need to put in another layer of it and will be buying another gallon sometime soon. After all that clay, it's wore down in places. The summer was mostly dry clay, so the challenge of it sticking wasn't as bad as it was during spring when the clay kept getting wet from the rains. Even with dry clay, there is some buildup and I would have problems, but like I said, there was no buildup with the Hammerite paint in the bed.
My backhoe bucket is 24 inches wide and I'm going to coat it with the Hammerite too. When digging in wet clay, it builds up really bad and I struggle to clear it out. I hate banging and ratteling the bucket to clear it out since I think that's bad for it and will cause some sort of damage over time. I think the Hammerite will allow the clay to fall out real easy, just like it did on the dump truck.
I hate to recomend something for snow that I have never tried, but this stuff is really good and I'm willing to risk it by saying that it will probably solve your problems.
Good luck,
Eddie