Thanks to Sharel for emailing this recommendation:
Seven Mile Cafe in the North Texas area has a lot of dairy free and Vegan options. Even vegan cheese and multiple milk alternatives such as almond, coconut, and soy milk.
Seven Milk Cafe is well-loved for bountiful breakfasts, but they also serve lunch with burger and sandwich options. At last check, Seven Mile CAfe didn’t have the menu up on their website yet (they said coming soon), but did boast their vegan offerings and wholesome nature right on the front page! It looks like they can accomodate “just” dairy-free, too.
Location: 311 W. Congress St., Denton, TX