Carly later shared a video of Nick busting a move next to the DJ booth, captioning: "The Badger knows how to party."
The reality star's wild day at the races comes after she admitted to having feelings for ex-boyfriend and Bachelorette star, Rob Colangelo.
The pair dated for three years before breaking up in 2015.
Speaking to New Idea, Carly said: "We were definitely in love. It felt like that was it and we'd get married and end up together forever."
"It's always hard to see your ex with someone else. I would be happy for him, but I'd also be a little heartbroken."