Hi R
To be near SG and see the local attractions try looking around the Mar Menor area. It's very booked up in July as the Spanish spend the whole of July and August at these beach locations. Some of the areas around there include Los Alcazares, San Javier, Santiago la Ribera and \Lo Pagan, San Pedro Del Pinatar, all great places to be based. I'm also biased in recommending the beaches of Pilar de la Horadada as lovely places to be based (cos that's where I am!), for these try Mil Palmeras, Torre de la Horadada and El Mojon.
I would think you'll get anywhere on the new golf courses too, as many people are desperate to rent as there are so many available. Either way, you're not far from most things as SG is in a great location. Good luck.
Jane