With cones it is all a matter of compromises. Metal cones do increase heat disipation (as mentioned above), but at the cost of being prone to denting and weigh a lot more. If it is within your design goal, the latter might not be a problem. Paper cones offer stiffness while being lighter. But they don't offer any cooling benifits. Then of course there are more exotic materials each with benifits and weaknesses.
As for surrounds, the best is foam. Rubber over time stiffens up, which makes their life much shorter than foam. Also, as mentioned above rubber cavitates. To prevent this, you have to make it thicker. This makes the surround heavier, and stiffer which can hurt performance. Foam offers you the longest life, and ideal performance while still staying thin.
Steven Kephart
Adire Audio