Hello Kells,
You don't say when you are arriving so the price of the hotel will vary depending if you're coming on the weekend, Summer or Winter. Off the top of my head, I would suggest looking at: Best Western Hotel Carlos, Hotel Liabeny, Petit Palace Londres, Petit Palace Posada del Peine.
Good luck. If you need more help don't hesitate to ask. This is the best site for all things Spain!
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Rudy