I think that New England would've been split between the French and Dutch if the Pilgrim/Puritans never settled there.
Personally, one option I always found interesting would be if the Portuguese tried to make a go of it (after all, technically it was part of the Portuguese Empire at first because it was on that side of the Tordesilhas line), although it would be far out of the way of the major trade routes to India (and, later on, Brazil). It would largely be a secondary side-project, though, which could theoretically also attract colonists not just from northern Portugal but also from Galicia, Asturias, León, and (as with the Spanish Empire) the Basque provinces (and
especially the Basque regions, considering how fishermen from that region had long used the nearby Grand Banks as a traditional seasonal fishing ground). It could either be sandwiched between the two or as a partial replacement (to some degree) of New France, concentrated either on Acadie and/or Canada.
Now, if the Portuguese are out of the picture, then there are possibilities. Historically, the Dutch managed to establish forts and trading posts as far east as modern CT and RI, and claimed shoreline as far east as southeastern MA (later New York would also temporarily hold Martha's Vineyard, Nantucket, and Gosnold/the Elizabeth Islands as Dukes County until that was transferred to the Massachusetts Bay Colony). So there's possibility for most of New England to fall under Dutch jurisdiction. Maine is a different story, and in that case I could see how, in whole or in part, it could become of New France - either as part of Acadie and/or part of Canada. If the Dutch also make a move, then a conventional boundary between the two could be
the Penobscot River and several of its tribuatary branches. Whether or not the Leiden congregation (i.e. the Pilgrims) still manage to cross is another story, considering how large New Netherland's territory would be, and it doesn't even have to be at the same spot as IOTL. The main difference here would be that Dutch jurisdiction would probably curb a lot of the self-governance of the Pilgrims, even if they make an independent go of it.