Aluminum is widely used as a heatsink for appliances, amplifiers, RC car engines, etc. I remember it having the right ratio of strength, weight, and heat dissipation to air. Not to mention it's price, abundance, and it's easy to work with.
Silver was one of the top performers but it's price is very high. Copper is a softer metal, harder to work with alone, but edged out aluminum with performance. Silver and other exotic metals arn't used too often because of their high costs.
So I guess neither, a Silver base would conduct more heat