For travelers, there’s a very specific image of Fiji that comes to mind: flawless white stretches of sand, overwater bungalows perfect for honeymooning couples and bright blue sea in every direction.

When my travel plans to Fiji started coming together, my friends and colleagues each said a variation of the same thing: “I’ve never really thought about going there.” Honestly, I couldn’t relate.

Now, some of those children live in Fiji for several months a year while their parents work on the reality show Jeff Probst tells PEOPLE how he made it possible, saying that changing the family ...