I likely wouldn't start out shaving if I were you. However, your beard may get annoyingly long. I stopped shaving during a month-long vacation and near the end food was starting to get stuck in my beard. I shaved it as soon as i got home. But, a giant beard can be kind of a "souvenir" of your vacation, and make for some interesting pictures/conversations when you talk about your trip years from now.

If it gets long enough to start annoying you, just buy a cheap disposable razor and shave it off. You may need a pair of scissors to knock it down that far. Or stop off at a barber shop along the way and have it cut off for a few dollars.