Apparently the driveway dips slightly at that point and the snow drifts up really bad there. It was over a foot deep, no wonder it was impassable. Even the pickup with 4-wheel drive nearly got trapped.
With my SO riding in the trunk for extra traction, it took the power of both vehicles to get dislodged. I backed his car down the driveway to the road, which was mostly snow-free. He left for work and I walked back to the house. Along the way back, I noticed that the driveway was level with the alfalfa field to the right. I suddenly realized that this was very, very wrong; the field is about 3 feet lower than the driveway and there is a very sharp drop-off. The snow had drifted about 3 feet deep along that edge, which was now only recognizable by the grasses barely sticking above the surface. If I'd wandered just a half foot further, I'd have sunk to my waist in snow.
It was -5ºF (-20.6ºC) when I headed out this morning, and the wind chill was around -20ºF (-28.9ºC). My face still feels numb.