Hi SunnySenorita. Not sure if I am the "Tony" sounded for information, but am happy to help anyway. SS, you have picked just about the busiest fortnight of the year, but there are lots of big apartments in the Carvajal stretch, so there IS hope.
First suggestion, one that might save a lot of time - e-mail Agnes at Sunny Rentals, and see what she can come up with.
Dealt with her and her company last year and was delighted with the service. Sunny Rentals are based in Los Boliches, and specialise in properties there, as well as Carvajal, Torreblanca and Fuengirola itself.
http://www.sunnyrentals.net
Suggestion 2, this three-bedroomed apartment above the beach, which IS available on the dates you want.
http://www.villarenters.com/villas/benalmadena-costa-del-sol-villa-to-rent-1990-sum.asp?rag=11126s&rcam=myvillarenters
Hope this helps. Tony.