Man I wish you would send some of that snow this way. This winter is absolutely ridiculous, no snow and none in sight in the forecast.
As far as trapping in the snow, your options are pretty much, dig them out or set your traps in the snow. That kind of will depend on what kind of conditions you have. If it is warm days and cold nights, with the snow getting wet and sloppy during the day and then freezing up at night, you are probably better off digging them out. If you dig them out, ADC has the right idea, large 6-8' area dug out, not just where the trap is. Personally I have had issues with avoidance of dug out areas, regardless of how large an area I've dug out, so I prefer to set in/on the snow. When setting in the snow, take a piece of wax paper large enough for the entire trap, levers and all to set on, put this down on top of the snow and press your trap down on top of it, then use another piece of wax paper over the trap as a pan cover. Bedding traps in snow solid will take just a bit of experience and depends on snow conditions, sometimes you have to bring extra snow in and add to the trap bed to build it up to the right height once the snow is packed solid under the trap, other times you have to dig snow out to get the trap low enough. Usually if you take your hand and punch the center of trap bed down so the trap is setting on the jars and levers it will bed much more solidly, much easier. If it is snowing when you set your traps, that is ideal, just put the wax paper over them, with maybe a couple pinches of snow to hold it in place until it snows it over, and let nature take its course, covering and blending your trap for you. Naturally fallen snow will not freeze like snow you have disturbed will. If it isn't snowing or won't be shortly, you have no choice but to cover them yourself. Do NOT use a sifter to sift snow over them! I don't know a way to make snow freeze harder. except to pour water over it. You want to disturb the snow you cover your traps with as little as possible, the less you disturb it, the less hard it will freeze. Use a flat nosed shovel, chunk of plexiglass or anything flat, slick, and cold to slide under a thin layer of undisturbed snow, and then try and slide that thin layer off of your flat implement and over your trap as smoothly as possible, disturbing that layer of snow as little as possible.
Sets in snow require a lot of maintenance as conditions change, but with a little experience it becomes easy to bed traps rapidly in the snow and move on.