On the other hand... the week leading up to Easter is Semana Santa. Definitely a cultural highlight, if you haven't experienced it before. Even if you don't stay the whole week, I'd recommend arriving in/walking through a bigger town over the Easter weekend (pic attached, to give you an idea. I think that was in Gijon, Easter Friday).
You should know that the weather at this time of year can be very, very wet and windy. I walked last year March/April and some sections were actually flooded. Nothing a seasoned walker couldn't handle, but you really do need to be prepared with the right gear.