Thanks to Stacey for sending in this recommendation:
"We eat dairy free due to my son's milk protein allergy … Another place that's very accomodating is Zingerman's deli in Ann Arbor. If you let them know you have a dairy allergy, they walk you through what has no dairy in it, and they prepare your meal away from any dairy food."
According to their website, "The Deli serves up thousands of made-to-order sandwiches with ingredients like premium Black Angus corned beef and pastrami, free-range chicken and turkey, housemade chopped liver and chicken salad."
At last check, they were open from 7am to 10pm every day (talk about convenient hours!) and you can view their main deli menu and mail order options via their website below.
Location: 422 Detroit St., Ann Arbor, MI 48104