One very nice albergue with private rooms on the Norte was Casa Carmina.
BIENVENIDOS A CASA CARMINA HOSTEL CASA CARMINA HOSTEL Casa Carmina Hostel ofrece habitaciones compartidas y privadas con un diseño industrial nórdico a un precio asequible. Así como bar con opciones vegetarianas, veganas e intolerancias. Tanto en carta como en nuestro menú. También...
www.casacarminahostel.com
It’s in Muros de Nalón, which is about 22 from Avilés. What made it especially nice was, since it was a short day, we could take a bus to the beautiful coastal village of Cudillero in the afternoon. That is a little detour well worth taking.
So, now I’ve scrolled through Gronze to see the albergues where I have stayed and liked, and see that a number also have private rooms.
I remember that the albergue I stayed in in La Caridad had private rooms, but I was in the albergue. One of our little group made dinner in the kitchen and a couple staying in private rooms ate with us — outside in a small private backyard, which was nice.
Información del albergue de peregrinos Albergue La Xana, en La Caridad: Precio, plazas, características, etc...
www.gronze.com
Albergue Savior in Lourenzá has private rooms and gets good reviews on Gronze.
En este Albergue en Lorenzana te ofrecemos todas las comodidades que necesitas para la estancia que vas a pasar con nosotros entre diferentes habitaciones
alberguesavior.es
One of my favorite albergues on the Norte was O Xistral. I stayed in the albergue part, which was spacious and uncrowded. But I see on Gronze that they have a private room, too. Good dinner, great hosts — a couple (one of whom is a veterinarian) that spent years remodeling this house and put a lot of love into it. There is a lot of private open space for relaxing.
Información del albergue de peregrinos Albergue O Xistral, en As Paredes (Castromaior): Precio, plazas, características, etc...
www.gronze.com
If you take the coastal alternative from Santander, which I HIGHLY recommend, Boo de Piélagos is a good stop. I stayed in the albergue, but again see that Gronze shows private rooms as well.
Información del albergue de peregrinos Albergue Piedad, en Boo de Piélagos: Precio, plazas, características, etc...
www.gronze.com
I remembered thinking that the Albergue Castiellu looked nice when I walked through Pendueles (at least I think it was Pendueles). It gets good reviews on Gronze and it does have private rooms, so it might be worth a try.
Oops I almost forgot one of my favorites from the end of my 2021 camino when I went over from the Primitivo to the Norte on the Camiño Verde from Lugo. Abeiro da Loba. It’s about 6 flat kms beyond Sobrado dos Monxes.
Abeiro da Loba es un alojamiento rural en plena naturaleza. Ideal para familias, grupos de peregrinos, eventos y alquiler vacacional. Haz tu reserva!
abeirodaloba.com
The owner/hospitalero converted his grandparents’ home into an eco-albergue/lodge. In the middle of nowhere, in a wooded setting adjacent to a tiny village (no services). Meal wasn’t great but I was in a private room there and also saw that the albergue room was very very nice.
Kind of garbled, not in order, but it will give you a start! Buen camino, Laurie