I was walking in June and the storks were a great sight on the CF then, as their chicks were quite large. I have photographs of nests we saw well before we reached Burgos, on top of the church tower at Puente la Reina, and absolutely everywhere in Najera, where they seemed to be flying around in great profusion. On the meseta itself, Itero de la Vega was one of the best places to see them: the seats in the large courtyard near the church were in constant use in the later afternoon with pilgrims sitting and chatting, and admiring the storks tending their chicks.
The furthest west where I have photos of storks was on the path between Astorga and Rabanal, and then again in Cacabelos.
Margaret