Hi zzafio! Welcome to our message board!
While there may be a few others, Majadahonda does have one hostel with a website. Here are the details:
Name: Hostal Doña Isabel
Description: Located 17km from Madrid city in the village of Majadahonda. 18 rooms (no photos) have bathroom, air conditioning, TV, & heat. Reservations by phone/fax/email/online. Accepts credit cards. Website in Spanish.
From their website, they don't list any single rooms but sometimes hostels don't mention the single rooms because they may only have one or two and these singles may not have in-room bathrooms. Not sure in this case. But the place looks nice enough.
Good luck and enjoy La Vuelta! Saludos, MadridMan
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