I think you should refer to culinary tourism. It is one of kinds of tourism.
Kinds of tourism are derived on the basis of main purpose of travel. Today there are some people traveling in order to taste foreign cusine. If this is the primary purpose of travel or at least one of the main purposes we may call it culinary tourism.
You will find lots of references for that kind of touirsm. For start some google -scholar links:
a theory of "baskets of quality products and services" assesses some forms of additional rent when quality products and services like rural tourism are synergistic in a given area