I am looking for historical instances of a rather specific and strange scenario:
Settlers who settled a wild/unclaimed territory (ideally 100-300 in number) who after settling in the new place, were largely uncontacted and undisturbed for at least 300 years. No additional arrivals of settlers to inflate population, or supplies to augment them. No interaction or interbreeding with a native population.
Why? I am trying to model the population growth of a hypothetical poorly-equipped but hardy band of 200 settlers, in basic family units, in an area without a native population, moderate predators, moderate climate, and basic knowledge of 1730s-era tech. This research is for the purposes of a novel.
My research so far: My research initially led me to the viking expansion - particularly the family group settling of Shetland, near Faroe. However, historical census data is not available. I also have been reading about remote communities, the genetic "founder effect", etc. All very interesting and relevant, but I haven't yet found any population data that fits this inquiry.
Edit: In terms of how severe a "break in contact" I'm looking for, it doesn't have to be immediate and absolute. It is not the 'contact' that I'm trying to model, but rather the population growth. So, the settlers may have correspondence or visitations by other groups, as long as there are not large influxes of new settlers or mate potentials. I'm trying to understand A) how high population can grow in ~300 years from the initial settlers, and B) how robust the settlers might build their village. After 300 years, would the initial 200 people marooned in the strange land be reduced to just 50 descendants, in a hunter/gatherer tribe? Or would the 200 people balloon to 10,000 and have developed their own infrastructure and technology?