I'm afraid I just don't get it. Gourman means nothing to me to imply food unless one infers 'gourman' from this (which leads you back to the negative connotations).
I think your 2nd option of "Gourman - The Sauce Company" is better as it identifies the company's business.
If there isn't a particular reason why you have chosen Gourman, perhaps it would be better to use another word altogether though (perhaps Gourmet)?