In October-November of this year, as the number of pilgrims arriving in Santiago dropped from nearly a thousand per day to several hundred per day, the albergues in small towns were closing. Yesterday, 28 pilgrims arrived. With so few pilgrims traveling, hospitaleros take time for themselves, so you should expect accommodation only in the larger towns, and even then, there may be closings as folks take a few weeks off. Hostales and hoteles are the most likely to be open.
Buen camino!