The fallout from the Chanhassen Dinner Theatres cyberattack has forced the popular Minnesota venue to cancel additional performances of “Guys and Dolls” as management deals with both a technology crisis and a wave of illness affecting performers and guests. The disruptions have placed one of the nation’s best-known dinner theaters under pressure as crews work to restore systems, sanitize the facility, and determine when productions can safely resume. 

The cyberattack on Chanhassen Dinner Theatres surfaced during a particularly chaotic stretch for the company. According to local reports, problems first emerged late last week when a lead actor became ill during a live performance of “Guys and...