I'm sure it's too late, but I just found a hostel in Cádiz.
Hostal Alborada is NOT in the city of Cádiz, but in the city of Tarifa, in the province of Cádiz. Tarifa is, however, right on the beach and prices are:
************* Single Room * Double Room
HIGH SEASON------ 4.800Ptas. 7.000Ptas.
LOW SEASON------ 2.600Ptas. 4.000Ptas.
MEDIUM SEASON-- 3.500Ptas. 5.500Ptas.
BREAKFAST 500 Ptas.
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It looks pretty nice from the photos too! Hope you have/had a nice time in Cádiz!
Saludos, MadridMan
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