Byers completed the 3.1-mile course in 20:58, which was 1:18 behind the winner, Jessie Murner of South Oldham.
Byers was the only Trigg County runner in the meet.
In the Class A meet, Fort Campbell's Tony Duran finished seventh in a time of 16:45, which was 37 seconds behind the race winner, James Maglasang of St. Mary.
Duran was followed across the line by Darrell Napier in 33rd; Adam Such in 83rd; Bryan Beeler in 122nd; Scott Hill in 125th; Levi Gibson in 129th; and Shane Veteto in 139th.
As a team Fort Campbell finished in 11th place.
For the gals, Emily Such finished in ninth place in a time of 20:01. Kaycee Grimes finished 29th, Ashley Gibson 83rd; Lindsey Horton 132rd; Alex Webb 139th; Morgan Dunleavy 140th; and Jackie Pierson 151st.
As a team, Fort Campbell finished in 12th place.
Meanwhile, Hopkinsville had one runner qualify for the state meet. Johnny Kvietkus finished 46th in the boys' Class 2A meet.
For Christian County in the Class 3A meet, Sean Hurd finished 46th in a time of 17:14. Danny Johnson finished 136th; Chris Pyle 156th; Roman Roman 209th; Logan Hurd 224th; Matthew Moorefield 225th; and Kyle Lancaster 227th.
Christian County finished 25th as a team.
"Everybody went as hard as they could considering the weather conditions," said head coach Richard Johnson. "We have expectations to return to state with 6 of 8 varsity runners returning. The team was happy to make it, but after the race, they were more motivated to return and improve next year. We have to replace our two seniors, so we are always looking for runners."