According to Equibase, Zen Type won two races: Race 1 on 6/22/1997 at Arlington Park, and Race 5 on 5/26/1998 at Sportsman's. Sportsman's is no longer active, but Arlington Park is. Contact the park at 847-385-7500, and ask for contact info for the track photographer. It's a long shot, but they may still have the win picture from his race. Give them the date and race number along with the horse's name.
You could also try to contact his former owners, Larry Elenz and Janice Krueger. They were his owners at the time of his first win. They currently have horses racing at Arlington Park, so you may be able to get a message to them via the track. Who knows, they may still have pictures. They might also be glad to know that he is well and in a good home. Their current trainer is Joel Berndt, in case it is easier to contact them through him.
Zen Type's former trainer has retired, so it's unlikely that he can help you.
His breeder, George H. Hubbard, is still active. His address is 473 Sheridan Rd., Winnetka IL 60093. A polite lettter might yield some baby pictures!