Beghe played an ice hockey star in the Perry Mason TV film The Case of the All-Star Assassin, an NBC-TV telefeature broadcast November 19, 1989. In 1991 he played a State Trooper in the film Thelma & Louise (reuniting him with Sarandon, with whom he'd appeared in Compromising Positions), and was Demi Moore's love interest in the 1997 film G.I. Jane. He had recurring roles on Picket Fences and Melrose Place, and became a cast member of Chicago Hope in 1997, portraying electrician Danny Blaines opposite romantic interest Dr. Austin played by Christine Lahti. In a 1997 interview in The Boston Herald, Beghe spoke about his respect for his fellow cast members in Chicago Hope: "I think it's the best cast assembled that I've ever seen. One for one, they're incredible. And to work with Christine Lahti? I'd drop a lot of things for that. She's so good and smart and dedicated. I've become a better actor just for working with her." He commented on his character on Melrose Place, a closeted military officer who had feelings for Matt, played by Doug Savant: "I thought we should kiss, but it was too much. TV is a very specific medium, and you're naive if you think that everything is just based on artistic decisions. If it prevents them from selling some products, that's a major consideration. But I'm an actor. I'll do whatever it takes."