My son and I started in Segovia for two nights (loved the aquaduct) in early October last fall and ended in Sahagan. We never saw any pilgrims while walking, but of the five albergues we stayed in there were also 2-5 other pilgrims staying. *My favorite was the muni in Santervas de Campos; a very nice repurposed stone building on two floors and the museum connected to it was a nice surprise. *My second favorite was a newer small 4 bed muni in Huertos, but the one open shower was in the large laundry room, so you had to mop the floor. *My final favorite was a cozy, very quirky hippie type muni with only 3 beds in the tiny town of Penaflor de Hornija. Not super clean, but sufficient and a nice bar was adjacent.
Do not miss the castle in Coco with a really nice self tour, including the climb up its tower.
Also, I enjoyed an overnight side trip to the beautiful city of Valladolid. The large gorgeous park and the Sculpture museum (recommended by @peregrina200) were my favorites, before taking a bus back to the camino.
I really enjoyed this more solitary Camino and it was mostly on trails and the terrain, while being more flat, was quite different than the Frances' meseta, with areas of pine forests, and some old adobe villages that I found very interesting. We had great weather and only one day of rain that I recall. I put my daily musings and pictures on a "Live on the Camino" thread. BTW, no one spoke English, except for the hospitaleros and a few pilgrims in the albergues until we were back in Madrid for three additional days of being tourists.
Hope this helps.
P.S. I was asked a question about the Camino de Madrid, so answered, but now notice it had taken the thread off topic.