Maybe reallocating some of the resorts revenues to professional waste management would help. Don't know what the plan was. Hey we charge you a fortune to stay on our islands and the waste...huh...expensive...well dump it somewhere...won't be a problem as we have abundant land masses....
Honestly the landfill idea has something to it. You could shred the waste and combine it with binding substances and create new lands.
I found it on Google Earth on an industrial zoned artificial island called Thilafushi. The dump is about a square kilometer in size. It looks manageable even for a small community. No perspective from BBC drama-cam.
Thilafushi, Maldives takes you to it on Google Earth search.