Hi,
I know many people will have suggestions for you. I can recommend these places which are not 10 miles apart, but may fit into your plan depending where you decide to stop each day:
Sarria -
http://www.casabaran.com/ Nice location, comfortable rooms, great staff.
Just beyond Sarria in Barbadelo there is a nice albergue with good food in a pretty setting. Not sure if they have private rooms.
http://www.barbadelo.com/
Ventas - Casa Molar. Very pretty location, good food, nice place to stop and rest. They have a dorm and two very simple private rooms with a shared bath. Very friendly and relaxing place. I did not find a website - we just stopped there in early May without a reservation.
San Xulian -
Hostel O Abrigadoiro - Another cozy place in a small village just beyond Palaise de Rei. They have a dorm room, but I think they have private rooms as well. http://abrigadoiro.es.tl/Albergue-O-Abrigadoiro.htm
Just before Pedrouzo Arca - Casa da Fonte -
http://adelavidal16.wixsite.com/casadafonte - small village and either they had a great restaurant or it was right next door. We had a very memorable last night on the Camino listening to some very interesting people share their stories.
We stayed in a few othe place between Sarria and Santiago, but I really liked the above accommodations because they were small, cozy, and friendly.
Hope that helps. Buen Camino