In 1960, "Renshaw" received Weapon Alpha, a new anti-submarine weapon, and on 17 December 1961, recovered the nosecone of "Discoverer 36". She made a further WestPac deployment in 1962. On 7 August 1962 she was redesignated a destroyer and resumed the hull number, DD-499. On 3 October, "Renshaw" participated in the recovery of Project Mercury astronaut Commander Walter M. Schirra. Spending most of 1963 operating out of Pearl Harbor, "Renshaw" deployed to WestPac again in November 1963, returning 6 months later.