The trick to pushing snow with a lightweight L&G tractor is to get on it before anybody else does. Once it packs down, the little tractors are about like a Banty rooster scratchin' in the dirt...going through the motions but not getting much accomplished. Having a paved surface to clear, vs. gravel, helps a lot. Snow is heavy, and like JKB suggested tire chains and added weight will be your best friends.
If conditions permit, I almost always recommend a snowblower over a blade, either tractor-mounted or self propelled. Blowing snow is a lot easier on equipment than shoving it. If the situation prohibits throwing, or if the bulk of the received snow is dry, fluffy stuff, then a blade may be a better option.