I think the cable provider in that area is
ONO .
If you opt for DSL connections, then you can try any of these countrywide ISPs:
Telefonica Wanadoo Jazztel (English version Website)
Ya.com Arrakis All of them (and some other more) can provide you not only Internet, but phone service and, some of them, even TV service. In most of the cases, you would have to hire a Telefonica line, no matter you are using the services of the other companies. Telefonica is the old monopoly company and still owns a huge part of the Spanish wire lines.