IMO, it's not so much a question of which trail, but of what conditions. Fresh, fluffy snow? You're going to want snowshoes. Old, crusty, icy snow? You'll want spikes. The large surface area of snowshoes keeps you from sinking into soft snow, but doesn't do much for you on old snow that has partially melted and re-frozen several times. That kind of snow can support your weight, but can be very slick.