Funny thought I had. Not sure how plausible it is, but...
Let's say the French win big in one of the early American wars (it has to be early or there are too many English/British colonists for this to be feasible). Either the War of the Grand Alliance or the War of the Spanish Succession (aka King William's War and Queen Anne's War respectively in North America). And furthermore they do so in such a way that involves actually having boots on the ground and battles won in America, rather than things just being transferred at a peace conference after victories in Europe. This is important, though it probably requires radical changes to OTL to achieve.
Anyway, the French win, they get all England's colonies in continental North America (but not the rich West Indian islands which everyone always fought tooth and nail to keep at the negotiating table) and they then impose their own colonial law there. This includes a higher tax rate and requires everyone to convert to Catholicism (as in Quebec). Now some Americans (I use the term anachronistically to describe the English colonists) might bite the bullet and do it to remain in place, with their businesses, farmland, whatever. But a lot of them at this point still identify with their Puritan founders (in New England) and we all know how little they like paying taxes - especially at this point when some of them signed up to be colonists specifically to avoid paying tax.
So most Americans will leave or be forced out, not unlike what Britain did to French Acadia later in OTL. Many of them will go to the English/British possessions in the West Indies (up to the ARW in OTL these were considered a contiguous entity with the continental colonies, especially the southern ones) but many others will be sent home to the British Isles. What then happens to them?
The government might perhaps re-plant them in a rebellious part of the Isles, such as the Scottish Highlands or the south and west of Ireland (regardless of which conflict we choose, there was a big Jacobite rebellion in it).
Or it might send them to found a new colony elsewhere. But where?
Thoughts, comments, cries of 'implausible!' ?