I wouldn't try to make that frame fit you. You'd do better on a 59cm frame. Trek touring bikes sell very well, even in today's heavily depressed market. Do you want to ride a touring bike? That might be a fundamental question.
I'm 6' 3/4" with a long torso, and I made a 58cm Fuji Saratoga work with a Nitto Technomic stem. It fits fine. A 56cm would not have worked. PG