Nay began the 2014 season with the Lansing Lugnuts of the Single–AMidwest League.[7] On August 19, while Nay was leading the Midwest League in doubles, the Blue Jays promoted him to the Dunedin Blue Jays of the High–AFlorida State League.[8] In 120 games in Lansing, he batted .285 with 34 doubles, three home runs, and 59 RBI.[1] Nay played 11 games in Dunedin, batting .185 with one RBI.[1] On September 24, Nay was named the MVP for Lansing in 2014.[9] Nay played the entire 2015 season in Dunedin, and finished the season batting .243 with five home runs and 42 RBI in 109 games played.[1] Due to injuries, Nay appeared in just eight rehab games for the Gulf Coast League Blue Jays in 2016, and batted .091.[1] In 2017, Nay returned to Lansing and spent the whole season there, posting a .222 batting average with 10 home runs and 40 RBIs in 61 games.[10]
Cincinnati Reds
On December 14, 2017, Nay was selected by the Cincinnati Reds in the minor league phase of the Rule 5 draft.[11] Nay split the 2018 season between the Double-A Pensacola Blue Wahoos and the High-A Daytona Tortugas, slashing .267/.352/.405 in 132 games between the two teams. He became a free agent after the 2018 season.[12]
On February 24, 2019, Nay re–signed with the Reds organization on a minor league contract. He split the 2019 season between the Double–A Chattanooga Lookouts and Triple–A Louisville Bats, hitting .278/.341/.504 with 17 home runs and 65 RBI in 114 total games.[13] Nay elected free agency following the season on November 4.[14]
Seattle Mariners
On December 13, 2019, Nay inked a minor league contract with the Seattle Mariners and was assigned to the Double-A Arkansas Travelers.[15] Nay did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[16] On May 28, 2020, Nay was released by the Mariners organization.[17]
Los Angeles Angels
On December 29, 2020, Nay entered into a minor league contract with the Los Angeles Angels organization. Nay spent the 2021 season with the Double-A Rocket City Trash Pandas, slashing .237/.347/.480 with 23 home runs and 54 RBI in 106 games. He elected free agency following the season on November 7, 2021.[18]
On May 29, 2022, Nay re-signed with the Angels on a new minor league contract. He made 36 appearances split between the High-A Tri-City Dust Devils and rookie-level Arizona Complex League Angels, slashing .189/.272/.303 with 4 home runs and 12 RBI. He was released by the organization on July 29.[19]