Los Gigantes in November is like a scene from the movie Cocoon, but saying that so are lots of areas. However, as mentioned El Médano is a good spot, catches the prevailing winds so can be blowy, but the Hotel Médano gives good shelter to the beach if you fancy laying out in the sun. Medano is more of a traditional seaside resort, chilled out as its a bit of a surfer spot. Good restaurants, cheaper to stay as it’s not the big resorts, no PR’s pestering you to go in their bar when you want a walk.
Or there is Las Galletas, but don’t be fooled into accepting that Costa del Silencio is the same. It’s NOT!Galletas is a nice little harbour town, again some nice little restaurants. A bit more residential.
I’d avoid going too rural up in the hills at that time of year, some beautiful spots and hotels, but too cold on a night, believe me, I live up at 700m above sea level here and have a wood burning stove for that time of year!!
Hope that helps.