In May 1954, as a member of the Senate's "liberal bloc", he proposed rules for Senate committees designed to eliminate some of Senator McCarthy's tactics. Later that same month, Senator Bridges renewed his threat to publicize Hunt Jr.'s offense to Wyoming voters. The Eisenhower administration, taking a different tack, offered Hunt a high-paying position on the U.S. Tariff Commission if he agreed never to run for the Senate again. On June 8, 1954, following a medical examination at Bethesda Naval Hospital, Hunt changed his mind about running again, and wrote to the chair of the Wyoming Democratic party, citing health concerns as the reason: "I shall never again be a candidate for an elective office." He did not, however, resign from the Senate.