Traveling involves experiencing many new things. New languages, places, customs and of course, tastes. discovering a new destination through its food is a must.
Be open to trying the local food, specially the street food that will give you a real taste of the local culture.
Give yourself a break and eat and drink as much as you want, don't miss the opportunity to explore new flavors. The food is a huge part of the overall experience and that is what travel is about, experiences!
You can worry about the diet when you get back home!