Have you ever ridden in deep powder? cause it sounds to me like you have no idea?
Maybe less than a foot deep, that might work.
But basically, what you describe, would be like trying to do push-ups in the deep end of the swimming pool.
Maybe it depends on the type of snow you're dealing with. Flipping over onto your belly works well in our coastal snow, even when it's 2-3 feet deep. But in dry continental snow it wouldn't make much sense.