A technique for routing signal wires in an integrated circuit design includes applying a first rule that attempts to route a signal wire along existing power supply shapes of the integrated circuit design and applying a second rule that provides shield wires along segments of the signal wire that are not routed along one of the existing power supply shapes. The technique also includes routing the signal wire between a first endpoint and a second endpoint while applying the first and second rules to substantially minimize a route cost for the signal wire between the first and second endpoints.