I keep almost replying, but then not taking the time. I will just add a couple things. First, if you can see the color of ice showing through the snow, then the snow is less than an inch deep. That can be managed with pretty much any tires. After scaring myself in my tripacer a long time ago, I figured that out and don't mess around unless I can at least see the dark ice through the snow.
Second, don't land on sloped beaches with ice or snow on them. Have done that a few times, figured out that it is better to find a frozen lake and sort out the snow cover situation. Rollout when the plane is slipping sideways and there are chunks of ice that can take out a gear leg or tailwheel that you are sliding sideways toward is not an experience anybody needs. I got that experience without anything expensive happening, offering it here for free so you can learn from my free mistake and not repeat it yourself.
Third, if you are evaluating snow surfaces, understand that the primary problem is the stopping. If you roll the tires at flying speed and don't let the plane slow down, it gives you a chance to feel the snow without committing to landing. If it feels like hordes of zombies are grabbing at the plane, fly away and don't go back. If it feels okay, go back and look at your tracks, then if it doesn't strike you as deep, run your tires in the same tracks again. If you do that a few times and reach the point where you are sure you have the tires down onto the hard surface, then maybe landing is an option so long as the snow is less than 4 inches. That is my personal limit for 31 inch bushwheels on a cub at work. I am sure it can handle more, but I don't feel any need to find out how much more.
And the important thing is you should be asking yourself if you really want to be doing this. Snow and ice are infinitely complex surfaces. I learned a lot of this stuff by trial and error. I wouldn't recommend doing it that way.
FWIW.