Pay a little bit more and have a great place like Torres de Alba Hotel.
If you want to go cheaper in a good place anyway and central. Posada Agua Miel.
I found apartments in the Casco Viejo that were under 100 a night. I forget where I found them but I am sure if you google apartments and casco viejo they will pop up.
Hotel Milan in El Cangrejo is another possibility.
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