Hi Lori, These questions don't go directly to the company. They go out to every day people like you and I. But to answer your question, I do believe I have seen what you are looking for there.
My brother in law is vegan and eats gluten free, Fresh Thyme is the first place he goes grocery shopping. They have a variety of items that are gluten and/or non-dairy. If they don't have what you're looking for all the manager is they could start supplying it.
I have purchased pizza that is gluten free, non-dairy, and gluten free / non-dairy. I also know they have non-dairy yogurts, so I would think they definitely have non-dairy cheese.
Thanks! Your answer is awaiting moderation.