After his father's successor,
John McCain, was elected to the
United States Senate, Rhodes jumped in the Republican primary for his father's seat, anchored in the
East Valley. Despite his name recognition in the district, he faced a tough contest in the four-way Republican primary—the real contest in this heavily Republican district. While he won the nomination, it was only by 5,000 votes, and he fell far short of a majority. Nonetheless, he romped to victory in November with 71 percent of the vote. He was reelected almost as easily in 1988, and in 1990 no Democrat even filed to run against him. Rhodes appeared to be a heavy favorite for a fourth term in 1992. His district had become even more Republican on paper when redistricting shifted several majority-Hispanic neighborhoods in Phoenix to the 2nd District. However, his Democratic challenger,
Sam Coppersmith, hammered Rhodes for several ethical lapses. In one of the biggest upsets in Arizona political history, Coppersmith defeated Rhodes by just over six points. After his defeat, he remained in Washington, D.C. Rhodes voted against the
Abandoned Shipwrecks Act of 1987. The Act asserts United States title to certain abandoned shipwrecks located on or embedded in submerged lands under state jurisdiction, and transfers title to the respective state, thereby empowering states to manage these cultural and historical resources more efficiently, with the goal of preventing
treasure hunters and salvagers from damaging them. Despite his vote against it, President
Ronald Reagan signed it into law on April 28, 1988. ==Accident and death==