As the 2022 US nationals were cancelled due to the pandemic, Dropkin's rink was invited to represent the US at the 2022 World Men's Curling Championship, where he led his team to a fourth place finish.
The team had good success, winning a bronze medal at the 2022 Pan Continental Curling Championships, and finishing fourth in 2023.
At the 2015 World Mixed Doubles Championship, they finished the round-robin second in their group but lost to Team Canada in the quarterfinals of the playoffs.
Dropkin also played with Jamie Sinclair at the 2017 United States mixed doubles curling Olympic trials, where they finished in seventh place.
At the 2020 U.S. Mixed Doubles Championship, Dropkin and Anderson lost to Joe Polo and Tabitha Peterson, the eventual champions, in the semifinals, but defeated Monica Walker and Alex Leichter to win the bronze medal.
Dropkin and Anderson played in the 2021 United States mixed doubles curling Olympic trials, where they finished in third, losing to Jamie Sinclair and Rich Ruohonen in the semifinal.