My first thought is that any knife that will be used for those three different functions -- edc, survival, and self defense -- will have to be a compromise. A survival knife and a self defense knife have, by their very nature, different attributes. And neither is the most convient to carry.
Is a 6" blade legal to carry where you live? In Texas it's 5.5" -- and the knife a usually carry when I'm most likely to be in harms way is the Benchmade Nimvarus Cub with the 3.5" blade, even though I have the larger 4.5" blade model -- and also have several other "fighting" style knives with longer blades.
The CS SRK would, imo, be a good compromise, as would a "KA-BAR" style knife. I wouldn't mind having my Swamp Rat Howling Rat in a self-defense situtation either.
However, if it were me I'd go for a heavy duty folding knife with about a 4" blade for an all purpose knife.