The Butler County Sheriff Kelly Herzet posted the reward Thursday while the search continued for 41-year-old Jan Tracy Kilbourne.
Investigators have been looking for Kilbourne since the deputy was shot in the shoulder during a traffic stop near Augusta early Monday. Herzet says the deputy is recovering at home.
Butler County investigators are following leads in Liberal and in Hutchinson, because Kilbourne has ties to both cities. But a massive search prompted by a possible sighting Wednesday in Cowley County was scaled back after several hours, although a tracking team continued working there Thursday.