The country trio scooped five trophies at the annual ceremony, including 'Song Of The Year' and 'Single Of The Year'.
Speaking to US Weekly, Scott said: "When we woke up to the announcement that we got the most nominations [seven], we were actually in Las Vegas playing a private show there.
"We just had no idea of the outpouring of love... from the industry, because that's just really validating and humbling to be recognised by your peers. It's very humbling, that's the best word to describe it."
She continued to say that the group are now "focusing on hopefully pulling together a headlining tour in the fall" at smaller venues.
"Because that's what we want to do, we want to headline," she added. "So we're just brainstorming on what kind of show we want to make and then just writing. We're such forward thinkers. We have a songwriter out on the road with us this weekend writing for our next record already."
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